{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div align=\"right\" style=\"text-align: right\"><i>Peter Norvig<br>July 2021</i></div>\n",
    "\n",
    "# Olympic Climbing Wall\n",
    "\n",
    "From the 538 Riddler on [23 July 2021](https://fivethirtyeight.com/features/can-you-hop-across-the-chessboard/) (rephrased):\n",
    "\n",
    ">Today marks the beginning of the Summer Olympics! One of the brand-new events this year is [sport climbing](https://olympics.com/tokyo-2020/en/sports/sport-climbing/).\n",
    ">\n",
    ">Suppose the organizers place climbing holds uniformly at randomly on a 10-by-10 meter climbing wall until there is a **path**: a series of moves from the bottom of the wall to a hold, and then to successive holds, and finally to the top of the wall, where each move is no more than 1 meter distance. There are two climbing events:\n",
    "> - For the first event, all the holds are placed  on a single vertical line, at random heights. \n",
    "> - For the second event, holds are placed anywhere on the wall, at random. \n",
    ">\n",
    "> On average, how many holds (not including the bottom and top of the wall) have to be placed to make a path in each event?\n",
    "\n",
    "# First Event\n",
    "\n",
    "A hold can be represented by a single number, the vertical height off the ground. I'll define `place_holds` to randomly place holds until a path is formed (as detected by `is_path`). Internally to the function, the bottom and top of the wall are considered to be holds, but these are excluded from the output of the function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "from typing import List, Tuple, Iterable\n",
    "from statistics import mean\n",
    "\n",
    "def place_holds(top=10) -> List[float]:\n",
    "    \"\"\"Randomly place holds on wall until there is a path from bottom to top.\"\"\"\n",
    "    holds = [0, top]\n",
    "    while not is_path(holds):\n",
    "        holds.append(random.uniform(0, top))\n",
    "        holds.sort()\n",
    "    return holds[1:-1] # (not including the bottom and top of the wall)\n",
    "        \n",
    "def is_path(holds) -> bool:\n",
    "    \"\"\"Do the sorted holds form a path where each move has distance <= 1?\"\"\"\n",
    "    return all(holds[i + 1] - holds[i] <= 1\n",
    "               for i in range(len(holds) - 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, here are random holds that form a path on a 3 meter tall wall:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.845553458582284, 1.384891681206423, 2.2900550596027087, 2.484136525301279]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "place_holds(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I can use a [Monte Carlo algorithm](https://en.wikipedia.org/wiki/Monte_Carlo_algorithm) to estimate the expected number of holds by averaging the `len` of  repetitions of  `place_holds`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def monte_carlo(fn, *args, repeat=50_000, key=len) -> float:\n",
    "    \"\"\"Mean value of `repeat` repetitions of key(fn(*args)).\"\"\"\n",
    "    return mean(key(fn(*args)) for _ in range(repeat))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "43.03982"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "monte_carlo(place_holds)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Answer: The expected number of holds is about 43** (which I found surprisingly large).\n",
    "\n",
    "# Second Event\n",
    "\n",
    "For this event a hold is represented by a point in 2-D space: an `(x, y)` tuple of two numbers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "Hold = Point = Tuple[float, float]\n",
    "def X_(point): return point[0]\n",
    "def Y_(point): return point[1]\n",
    "\n",
    "def distance(A: Point, B: Point) -> float: \n",
    "    \"\"\"Distance between two 2-D points.\"\"\"\n",
    "    return abs(complex(*A) - complex(*B))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To make it easier to determine when there is a path from bottom to top, I'll keep track, for every hold, of the highest hold that can be reached from that hold (in any number of moves). The data structure `Wall` will be a mapping of `{hold: highest_reachable_hold}`. A `Wall` also has an attribute, `wall.paths`, that is a dict whose entries are `{hold_near_bottom: hold_near_top}` pairs denoting paths from bottom to top.\n",
    "\n",
    "When a new `hold` is added to the wall, update the wall as follows: \n",
    "- Find all holds that are within 1 meter of the new `hold` (including the `hold` itself).\n",
    "- For each of those holds, look up the highest hold they can reach. That set of holds is called `reachable_holds`.\n",
    "- The highest of the reachable holds is called `highest_hold`.\n",
    "- Any hold that can reach one of `reachable_holds` can reach all of them (via `hold`), and thus can reach `highest_hold`.\n",
    "- So update each such hold to say that it can reach `highest_hold`.\n",
    "- Also, if `highest_hold` is within a meter of the top, and a hold `h` that can reach it is within a meter of the bottom, update the `paths` attribute to include the path `{h: highest_hold}`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Wall(dict):\n",
    "    \"\"\"A Wall is a mapping of {hold: highest_reachable_hold}.\n",
    "    Also keep track of `wall.paths`: a map of {start_hold: end_hold}\n",
    "    where there is a path from start to end, and start is within 1 \n",
    "    of the bottom, and end is within 1 of the top.\"\"\"\n",
    "    def __init__(self, top=10): \n",
    "        self.top = top\n",
    "        self.paths = {} # Paths of the form {hold_near_bottom: hold_near_top}\n",
    "    \n",
    "    def add(self, hold: Point):\n",
    "        \"\"\"Add hold to this Wall, and merge groups of holds.\"\"\"\n",
    "        self[hold] = hold # A hold can at least reach itself\n",
    "        self.merge({self[h] for h in self if distance(hold, h) <= 1})\n",
    "\n",
    "    def merge(self, reachable_holds):\n",
    "        \"\"\"If you can reach one of these holds, you can reach the highest of them.\"\"\"\n",
    "        if len(reachable_holds) > 1:\n",
    "            highest_hold = max(reachable_holds, key=Y_)\n",
    "            for h in self:\n",
    "                if self[h] in reachable_holds:\n",
    "                    self[h] = highest_hold\n",
    "                    if Y_(h) <= 1 and self.top - Y_(highest_hold) <= 1:\n",
    "                        self.paths[h] = highest_hold"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Note: This could be made more efficient with an [integer lattice](https://en.wikipedia.org/wiki/Fixed-radius_near_neighbors) to quickly find holds within 1 meter, and a [union-find forest](https://en.wikipedia.org/wiki/Disjoint-set_data_structure) to quickly merge groups of holds. But since the expected number of points is small, I opted for simplicity, not efficiency.*\n",
    "\n",
    "Now `place_holds_2d` is analagous to `place_holds`, but places holds in two dimensions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def place_holds_2d(top=10) -> Wall:\n",
    "    \"\"\"Randomly place holds on a square wall until there is a path from bottom to top.\"\"\"\n",
    "    wall = Wall(top)\n",
    "    while not wall.paths:\n",
    "        wall.add((random.uniform(0, top), random.uniform(0, top)))\n",
    "    return wall"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we can estimate the expected number of holds:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "143.2666"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "monte_carlo(place_holds_2d, repeat=5000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Answer: The expected number of holds is about 143** (which I found surprisingly small).\n",
    "\n",
    "# Visualization\n",
    "\n",
    "To get an idea what random climbing walls look like, and to gain confidence in this program, I'll plot some climbing walls, with green dots indicating the random climbing holds, and yellow lines indicating possible paths from bottom to top."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def plot_wall(wall):\n",
    "    \"\"\"Plot the holds on the wall, and the paths from bottom to top.\"\"\"\n",
    "    plt.gca().set_aspect('equal', adjustable='box')\n",
    "    plt.xlim(0, wall.top); plt.ylim(0, wall.top)\n",
    "    ends = set(wall.paths.values())\n",
    "    for h in wall:\n",
    "        if wall[h] in ends:\n",
    "            if Y_(h) <= 1: # Plot vertical move from bottom\n",
    "                plot_points([h, (X_(h), 0)], 'y-')\n",
    "            if wall.top - Y_(h) <= 1: # Plot vertical move to top\n",
    "                plot_points([h, (X_(h), wall.top)], 'y-')\n",
    "            for h2 in wall:\n",
    "                if distance(h, h2) <= 1:\n",
    "                    plot_points([h, h2], 'y-') # Plot move between holds\n",
    "    plot_points(wall, 'g.') # Plot all holds\n",
    "    plt.title(f'holds: {len(wall)}     starts: {len(wall.paths)}')\n",
    "\n",
    "def plot_points(points, fmt):\n",
    "    \"\"\"Plot (x, y) points with given format.\"\"\"\n",
    "    plt.plot([X_(p) for p in points], [Y_(p) for p in points], fmt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dBeh0CQQHp3lY0pHj771ZgNEzluFAFHAFkAa0Af8UQnxdUZSX+h+nKMqTwJOgLiUeg6xe5dWdX+aGLf9yhP7CI4usBJV9k5CQOYSHL8ZoXENo6HxnZqD/FdzN21UyG2as8LLkAQIMzViGAxuA44qiNAIIIf4NrABeGvIsP6Si4gdsPvovZ+ivVYb8pjZmheymo2M3DQ3PO4+VpGAOd4Xz/fxTWGV4ufo9kpM8W0w0gG/h62smxqIEqoDlQogQ1OHAesD1GUO8zIEDV9Lc/BYLo0N4uVrGYrei1+i5cd1mlk5eQHv7p7S376SjowCzuYLe3hryG5v61RC0BrztExh/mH4di09gtxDiDWA/YAMKcJj94wFZtrF//3I6O/eh10/m5otKyc46dJZGj4paS1TU2gHnalLyeKn6goC3PYBfTL+OaXZAUZRfAL9wkSw+g83Wyd698+ntPUFISAaLF+cjSfphO89Ub/sWnzYBA3gGf5h+HRc5Bl1JT89J8vMzsdlaiYr6LBkZ7wXSgAcYE570CUzYHIOuoqOjkIKCFciymcTEm5k9+ylvixRgHODr06+BLs5Bc/N77N+/xJkANKAAAkwUApYAUFv7NOXl6jrw2bOfJzHxOi9LNDLOZ276+hRVAO8yoZVAXnUe/97/U1LZyvxILZmZHxAVdYG3xRoR55uC8ocpqgDeZcIOB7ZXfsy651bwUOFW7igGW+JzfqcA4Pxpu8ZrWq8ArmNCKoGenipe2v65fsk/NexpqPK2WKPifLnqJ3KNvQDDY8INB6qr/8zRo3eSGWFHJ6khwP78cZxvBWBghWCA8zFh4gSs1jaKijbQ2bkPIXTMmvUE/yu4m/ymFm5ctyPwcQQYFwTiBM5BQ8NrHD58PYrSS0hIOtnZW9Dr48lp+i+zQv7L/Mhgb4sYIIDXGNc+AVm2UFx8CYcOXYOiWElN/SVLl5ag18cDEBPzOQBOnXrFm2IG8CC+UCfA1xi3lkBray4lJVdgt7ej108hO3srISEzBxwTH38V5eXforV1i5ekDOBJAtOlgzPuLAFZljl8+EaKitZht7eTmHgry5dXnaUAALTaCDSaCMzmMi9IGsDTuHO61J8tjHFlCXR2llJUtAGrtR6tNpKMjHcxGofW9CEhc+jo2IPV2oZOF+khSSc2smzjvZLfs6vmIJfPv81jvbG7VvT5u4UxbpTAsWM/parqQUAhJuYK0tPfQJLOf3tRUevp6NjDqVObmDLlO+4XdILQ21uPybSTzs59dHUdpKfnGBZLAzZbGyVtFu4oVqdnH97/H499NCOdLh1uuLU/5AwYCr9XApu2X86W4++RbZTJiApi7txXiIv7wrDPj4+/lqqqB2lufjugBIZJXnUeW49vZklcHHPCzHR1FdHdXUFv70ms1iZkuZvB6mJKUjA6XQwHzQKrXOvIvOTZj2a4K/pG0rv7Q86AofBbJdDens8r2y/kh/vbnMk/N13ybWJirhhRO2Fh6Qiho7OzwE2Sji/yqvO44Pk1WOw2dBJszIR0o7pPCC0aTTgGQxJBQSmEhMwlLCwbo3EFQUHTnXkZRFIezxxZjcVuRydpfPKjGUnv7u8BWX6nBJqa3uPw4a9js7Wwr5kByT/fPfgXorv+RkzM5UyfvpHg4JRhtWkwJNHTcxxZlgMJRM5DbmUuVll2hFsLqjQX8bWse4iIWIpGEzSsNnKScnjn6pfYlPdVVk6e5ZMfzUh797576HM2+uI9nQu/UQI1NX/n6NEfI8sdji2CtakX8HL1TnptPegkyDYC2Glq+hdNTf8iKGg6ycl3MWnSzUN+3BERy+npOUZb21aio9ePWsb+Y0jAb3uGoVA/DoPz47gy6+dERY38/i6YeQ36hu9it5f5pPIdjf/AX52DPq0EZNnC8eP3cfLkI/QvcRgT8wXS019FkvRMS8vjuU/WkxluJt2oQ1GshIUtQJZ76O4+RHn5t6mo+IHDOvjToNZBbOwXOXXqFRobXxu1EtheuZULX9qA1S6jkQQoCnYFDNpgv3ohzocrTd+oqM/S2Pgazc1vjciP4ylGkhHIn52DPqkEXt91LTtri5mlO0i6UXZuj4y8kHnzXkWvj3Zuy0nKYcZFmygtvRKQMRim0tlZQFjYQpYtO8Hx4/fS1PQfmpreoKnpDYKDZ5Kc/BMSEm509j6xsaofwWTaMWwZ29vzqa19mtbW9+jtreXlKhtWuzo0UWTVKabgeceXJ3BVuqzk5LtpbHyNmppHfFIJjAR/dg76nBJ4eNtd/Dj3FWQF9A7H0/KpS5k37/VzjvHj4q5ACNUKmDLlRzQ0PE9n534KC1exZEkJ8+a9RH39S5w48VvM5sOUld1MRcVtxMRcwfTpfyAoKBmtNgaz+fig7VutbdTUPEZDwyv09h5Dls8uvJxtxLkqsb8l4G8vhCcJD89Go4nAZPrU26KMGX92DvrUKsLco++w4eXLsTtEEsA30+C2rEuZO/fFARbAmZSX305t7aNIUgirVnVQUvJ5WlreQauNZNGiQqcC6emp5dixH9PU9B9k2QxAcPBMQEN+/WGawn/MouggEu0f0t1dit3exWDTXUIYCA6eRmzslcTHf42wsPnsrNrGc7lrWRxjJCh4BjtO5vONVW+zZtplo31k454DB75Ac/ObZGZ+SHT0hd4Wx+/x+1WE/zvwR+R+35sk1B62tfVddu2KwWhcz5w5/xjUIpg+/Y/U1j6KLHfT1PQGmZlvU17+PWprH2fPntlkZ2/HaFxCUNBk5s17GYC6uheoqnoAs7mMUhOOAJY/DjL1pcdgmEJ09OeYMuW7hIbOHlT+lclrCMlYhcm0nfj4WaRI+cwObXP5cxpPJCffRXPzm1RXbwwoAS/hUy7ZLy96EINGhwRoBPxgxukPEcBk2szu3ans27eEjo79A87VaIKIiFBNsIqK2wCYNesxpk37A4rSS0FBDk1Nbw04JyHh68TFXQMICk0DpxuP2LJZsuQwa9cqfOYzvSxffoxZs/5yTgXQR1raAwB0dR1wyLxz9A9kAmA05iBJoZhM270tyoTFp5RATlIOW67/hN9c8ABbr/uIGzK+gDooGEhHRz779i1i9+7ZNDe/59w+c+bjAFitjbS0bAYgOfnHzJ37KqBQUvIFTp58FFm2cfToj9m2LZiqql8CCtlG0Gu0aIQGgzaYq5Y+ft4PfjAiI1eh1UbT1XUQgM7OohG3MdGIjFyNLHd7VWH68wKgseJTPoHBsNt7OHr0x9TVPYmiWAY9RqdLYNq035OYeD07d07Cam3AYJhBTk6F85i2th0UFa13tCEYOM4XZGRsobzb4BLHTkXF/1FT82dAQq9PYMWK2lG3NRFoadlMcfEGYmKuICPjTY9f35/n+M9kND4Bn7IEBkOjCWLWrL+yenUXyck/Q6MJO+sYq7WBsrIb+OSTYMLCsgHo7T1Ce3u+Y38bNTWPoyg2AEpNCi9XQakJhAhl6dIKYmLUD/+e1feM+QVIS/slfRaM1do8prYmAtHR65GkINravJPXYaJnZPZ5JdCHJGmZNu3XrFxpYvr0h9Fqz54pUJQeWls/ANQP/CdvX8pzmxezc2c0jY2bANnpAHzmuPqvlPImISHTXSqrVhtBWNgCQEZRLNhs3S5tfyT4i5kbEZGD3d5xlq/HE7g7I7Mr/gbu/Dv61OzAcJAkiaSkH5KU9EPq6p7n2LGfYLU2DDjmtKe/kWePNg7w9Pd3ANoUDTuq97I6dYPL5UxN/TklJVcC0Na2hdjYy11+jfPxQekjXPHvH2CVfT9ycerUH7DzxFbe/PB6rl76pEfldOccvyuGGu4erviNJTAYiYnXs3JlPfPnv4Ven+jcXmgCi+NDt8jq732oQT3C7Xn4Y2OvQAh1QU1ra65brnE+8ptanArP183csu5Y7iiGv5aUsP6F9R63XFw1FDwTVww13D1c8Wsl0Eds7OdZsaKWrKxP0OniidCedvspQIQWwABATtIKNl+/nV+v+7Xbe8bY2CsoNcHGPf/wijl+wbSL0EnqH9nXIxf/U3CP3yiskeCKoYa7hyt+NxwYiqioNeTkVPPc0WAEMgrqB9AphwMdREZeQHa2OnW4Mnml2+VpDPoqdxS/hlVu44XK9R43x3OSctiYqVpCN63z3aFAaek1pLF9XBSDORNXDDXcHZI8rpQAQHn5d8k2yugdL5ROEmSGdxAdfTGZme+dvwEXkld7sF/v1uuVhUTpRol0o+yTCkCWZQoL19DevpPs2ElszKyntCuOb6x+yyflHS2uWHDlqkVbgzEmJSCEiASeBuajWt43KYriNTe01dpGff0zpBtx9IAaso121ky7koyM/3hcnlVJS529m1bIXund1IVVvT63Zt9u7yE/PxOzuYLg4DlkZPwX655ZrE5bTOY4UgDuwNWl5sdqCfwFeF9RlC8LIfRAyJglGgMHD36DPm9AuhHSjXbi4q4hPX2TV+TJiDQ4zfFsI8wJ6/W4DBpNGDZbL11dBwkPn+/x6w9G7tF32JR3FZnh3axIXkNW1lZnAZjQ0AwvS+fbuGOmYNRKQAgRAawBbgBQ1FC8wUP6PEBPTxWtrW8P2JaQcD1z5z7nHYGAzs5ihzJSIxTLy7/NsmWerXGg08VgszXT0vK2V5VAZ2cJDQ0vsLnsFb6/r8Yx9tewZeHvkCSJ9vY9AISHL/WajP6AO5KXjMUSmAY0As8KIbKAfcAPFEXp6n+QEOIW4BaA5OTkMVxuaIqLPzfg9/DwHK8qAIDu7sOAmsOwt7cKs7mc1tZtREWt8ZgMQUHTMJvLaW/33Jp9WZZpa9vKqVObMJm20dNTiaJYAdjbNHChVt9L3N1dCkBk5Gc8JqencKX57o7kJWNRAlpgIXC7oii7hRB/Ae4G7ut/kKIoTwJPgrp2YAzXOycm0366u4v7bZFYsGD4WYLcRU/PMQCioy+lru5vAJSX38KyZYc9JkN4+GJaW9/HbD7qtmvIsoXGxn/R2PgGHR176O2tRf3MAQQ6XTzh4YuIjb2Ci4I/5cUTz57lJ+npqURdaxHrNjm9gavNd3fMFIxFCZwETiqKstvx+xuoSsCj5FXn8WzuWrIiTkcFRkVd4BNOsN7eGkBNo1VX9zckKRSzuYy2th1ERq7yiAxRURuoqvoNFku9y9r87/57eKf0L+QkzmFGUBU2W//1ERoMhmSMxhXEx19FdPRlA4rAzGz8Zz8/icKSxAUAWK2n0GojXCajr+BK872/RXHP6ntcJuOolYCiKPVCiGohxGxFUcqA9cBBl0k2DPKq81j33EqssoJOgkcWxTMr5BSpqQ94UoxzYrWeQgg9wcEpSFIoiqL2jmVl32LZskMekSE8fBEAdnvniM6TZZmOjr20tW2hoyOf7u7D9PbWUNxiclYPer6ygI2ZkBUTS2zs50hM/DZG47Ih2+3sLGF+pI7Fk2ZgNh+iuPhiFi7MxW7vIjh41qjv01dxlfnuztDhsc4O3A687JgZOAbcOHaRzo8sy5w8+TDPb/8VVllR1wHIsLepkfTpcRiNSzwhxnmx2UzOVY9hYdm0t+8kOHgOZvNhj1kDWq16/XMtw7bZumlry8Vk+oTOzkLM5iNYLPWOKkL9EWg0oZR0RmKV25xj+kITpBubqK9/lqamtzAa1zB58q3ExFw06PWs1lMYDMlkZ28hLy+R9vZP6O6uBBSCg6e57L59BVeZ7+7MZjwmJaAoSiEworXLY8FsPs6RIz+ipeVdFMVCRtjp5J46jY5so5WEhG94SpzzIstmDIbJAMTHf4X29p1ERCx3JDv1nDVQaoJCk0xn4S+YGXyKrq5ienoqsVqbBlEOElptJMHBMwgJmUdExBIiIzcQGjofSZI4ujmLZ4+1YZMFWkkhJ3Eu06ffTEPDK3R1HaC5+U2am99ECB0hIfOIj7+ayZO/g04X6VghKBMevgCDYRI6XTxW6ykOH74BgNBQ35jCdDWuCPRxZzZjv4gYrKt7nqqq32I2q0lCNJowwsPXkM7HbMyE4nYDi2IjmBXcRGrqL7wsrYq6fFh2LmyaNOmbHDnyQzo69hESkkF39wFMpp0Yje4NX86rznOa7y+e+JVzRaUQerTaaIKDUwkNzSAiYiVRURcSFDT5nG11dpaSqkUAq40AACAASURBVCnmkcXxNIf9kLiux5mmO4ROF8/ixWruhtbWbdTWPkpbWy5dXUUcP17E8eP3otMloNPFABAVpVoJ8+e/SUHBCtrbtwEQHj70UGIi487QYZ9VAhZLE0eP3klj4z+dpmlIyBxSUu4nOvoidu2aBEikGyWyY6OwWusJC1vgM86lvhyDBoOaFFWrDUOni8NsLiM7ewcFBUspK7uZpUvdaw2oZcNOT8kVd4Rwzao3iYkZeVLPw4dVK+tLS18gJuYizOavsXv3NMrLv0Vs7JVotWFERa1xToFaLE3U1DxGY+MbdHcfci75rqj4PvX1z5KQcC2SFMKB1m4KTfCN5BDi41126+MOd4UOe9+FfgZNTe+yd282u3bF0dDwPIpiJy7uKyxfXs3SpYdISLjakSasl+TkXwA2Zx2A5OSfelf4fnR1qbkFQ0JmOLdFRKxwmN8yISHz2Vt3mF98dKtbVxiuTV2LThJI9K2j6ObAgc9SUPAZLJZTw27HZMqjs7OA4OBZzvF+cHAKycl3I8s9lJR87qxz9PpY0tJ+wdKlB1izxoJGE4463Aiho2M3R458nwOt3c4kLxdv+pLPJz8Zj/iEErDZujly5Efs2BFFSclldHUVYTCkMGPGX1m9upv09NcJCpoKwIkTv6Ozcz+hoRlMmnQtAHZ7O5IUQnz8l7x5GwP48OAzvFwFe+uPcOrU69TVPYtOFwdAefl3qOiZwh3F8Jtdf3fr+vmcpBz+vnIRN6XB02vW8fW1uzAYkjCZtrFr12TKy29HluXztnP4sOrznTPnuQHbp037LQZDCm1tuZw69caQbdjtnQQHz2DVqlaWLz9BUtKdHOiMOGuRVQDP4rXhQF51Hu8ffpE0aSepmhJARggtUVEXMX36RsLC0s86p7u7guPHf4oQerKyttDW9oljjzzikuTuQpZl/r33Rm7N2+0Yh7/IxswXB6RO7+oqILfqdOScxdbj1hWGq1MvJUXKJyS4AaMxh5ycKk6efJRjx+6itvZRGhqeZ+bMx5k06euDnt/c/AFmcxmhodkYjWfLmJn5AXv3zuXw4euJibl80OrEJtM2QCE8XPUjBwUlk5z8UzIPPuL1RVYTHa9YApu2X8a651bwm11PcOuuYg526IiLu4olSw6TlfX+oApAXXa6DpCZM+cZ9PpYurtPj6enTXvQg3dwNrIsU1n5K3bsCOeDshcGjMP7ZzbqY0GkxpnwQyspLJuU5jbZ4uOvAaC3t865berU21i1qo2EhOuw2zs5fPgb7N49m87OkrPOLy+/BYC5c18ctP3Q0NlMnfpDZLmb0tLBawo2NamrOGNiLnVuKyhYw7xwCy999gZuShNszIR5EZrR3aQf4iv5H71iCWw9/uGAj6SgtZd5ja/T2Pg6oJb40moj0OniMBimEhQ0jc7OQiyWGiIjN5CQoA4DdlblklsFi2OiWXuOOoXuRo1Z2MiJE79yBORILI6J4sUTrY58Bn0l0/vQU2qyUGiy873p0G5T9xtOfR95+pcHRNe5irCwuY5pwlaklJ3OhCqSpGfu3OdJS/s1JSVfpLNzH/n5GURHX8a8ea+i1YZx6tTr9PZWERGxkrCwc0/hTZv2J06deo2WlvdpanqX2NhLB+zvqykQE6MqiSNH7qC7+wBhYYtYu/hZ5hs11Nf/gwMHLmPVqkaXPwNfw5fSnHtcCVRV/ZEsow2dJLApoBWK8yPRaCLR6+Ow2zux2dqwWpvo7h4YhNjW9jG5uRoOtgt+VGTHKsNLVe1kZuZ57CH2hW/OCW4guuspFKV/YI3M7NBWHsrSUtAmk22USTdK9MXSl5oszim70+XOtFitjZSUfJ7MzHddJqcsW6iufogPD/3VcU2FF0+s4qEsDRlRYWi1Uej18RgMU4mKugCjcTX19c/R0vKOmqE56Ot8VP4amRFw07KXh7yWJElkZLzHvn3ZHDp0NStXNiNJeud+s/kIkhSKVhtCa+sWTp58CI0mjOxsdXpw1qwnqa//BzZbE93dxwgJGX+BQ/3xpVLmHlUCimLj+PF7mR+p48Nr/8fOmv2sSVlDilREVdUDWCw1mM1tGAxJzJjxCBEROTQ0bKK6+gHUPAF9RUNkCtr6r0aze+whqqHKK874iM8+bl6EjXnO2crTi2kKTcpZQ4V0ow29fjItLe9RU/MEU6Z8Z9TyybJMY+NrVFdvpLOzAJDZc6pfhmUZDnSEkRGlYLGcpLe3ko6OPWe1U9Jm5Y7iZ533mT5/P2unD21thYdnkpj4berq/sbBg9cwf/6/HTJZsNtNhIRkYLO1c+DA5YAgM/N9tFo1BYUkSURHX0ZLyzsUFa0jJ+fEqJ+BP+BLpcw9qgTM5iMoio1p0/5EcvJFrJmmTjX19KQgSVpOnfoX7e3b6e2tprz8W0BftJtqMqcb+xYhSiyNT+TFE7VYZQWtUFiT4pnluWfOu6sfcd9eCUkKQquNJigohfDwJdTWPoWidKHXT2bFihrMJb/nxRN3nzVUiIu7mtrav1JRcTtRURsICZk5IrlMpp1UVv6KtrZPUBQ1eYlen0hCwrVcl3IhL564GKusoNcGc92a95wKU5ZlzOYyOjuL6e4+hNl8hN7eKkpqDgwID3555xfR1ccRHX0Jycl3Exo6d1A5Zs58jKamf9PU9B9aW7cQFXUBLS1qWjejcRkFBauRZTPJyfeeFSg1f/5/2bZNw/5TVbz59uVcMO0SVqVswGCY4gx/Hi/4Uilzj5Yhi0sTyq8fjWRF0kq6ukqwWk855vgHl+F0/QD1g3lq1Qouy/oV0dHrAXhj9018UPYs2Ua4KP3/mDHjIbffgzqWu4BeW4/TEsiMjkCnS8Rma8Bm6wDsg56r000iPHwB24+/10+xnVZ0n0lZz1RlMzpdPDk5Nef1D5jNJ6is/DlNTW9ht6veR40mgpiYy0lN/dWAoir/+CCVTxtOcNO6Xed94WRZ5un3E/j+viZsioRO0vD48ulM0x1xVnHSaiOJjNxAcvJPiIgYGDluMu2loGApWm0kK1Y0Ul5+K/X1/yAm5kqam98kLGwhixfv63c9C7W1T1Bb+xR760oHGS71HSkQQoMQOoTQIUlBSFIwGk0wGk0YGk0EWq3R8RNNcWs3exsbuHz+D1mZ7LkcDt5kNGXIPKoExGShGL5zbhNaCD0aTQQ6XTQ6XRzPH23j0YOlyKhe9DsXXcrvL3/HefypU29w8OBXAA1CCFaubPZIxGCfT2CG9iBxvS85ZDcwf/5bxMRchMXSRFtbLu3teXR07Mdkyj1nW2cquoeytMyLsBEdfSmZme+cdbzN1s6JEw/S0PAiFkuN49o6jMY1pKT8jKiotYNeZ9++5XR07GbNGvt5l1mXll6jDimUFZzUXu7sqdShxj+prX2M9vY9TotDownDaPwMSUl3Oq9/6ND1NDS8QHz81xxWhjrrIEmhrFhRjySFUF//DDU1j9HVVUzfkOmV6lD+cawLGdAIwW3z0rlxZiI2Wzt2eyd2exey3IOi9CDLvSiKDUWxc3rIdfZz9fXCK65kNErA445BqwxllplclnodoaHphITMIzh4+qC9Xm9cHk+Vr6PX1otOgmT7uxQVfZaMjHeRJK1zmWxw8AzM5jIOHbreIwlF+4dvNjV9lZKSy1GUXg4cuJi4uK8wd+4rxMd/mfj4LwPw6acz6OlRk3qkpT3A8eP3Ots6syR6QZvqS2hpeZeamr8zZcq3kWUbtbVPUlv7qCNbkeofCQ3NZurU/yMh4evn/bC12kgAbLaWIRN3NDS8RmPja+h0cVyb88mAv4skSSQkXE1CwtWOe3+Xmpo/YzLtoKXlHVpa3kGSgomIyGHy5O/T3Pw/Tp16BSEMzjamTv0RRUUXOBYTqRaTXp9IbOyXSUm5F8P047xUddprfvWyJ8ka5sdrs3VjsdRhsdTx0adPYFM2IaN43fHm63jWEpgilODvjkwr51Xn8eKOK0kPOUV2bAJWawM6XRwLFuwkKGg627ZpCA3Npre3CputlWXLjhIc7L4598Ho6ipj376FzjUOWm00GRnvO5c0V1Vt5NixOx37IrHZ2pznlpok7iiWHZaAxMZM2WkllZrgQEcEmRFdzItQPxiDIYXExJtISrpr0KCcc1Fa+jUaGzexaFEB4eHZgx7T01PL7t2pKIqdJUtKzjnuH4y2th1UV/+Rtrat2O0djq1awNbPryOcfh2dLo7Y2CtJSfkZQUED0865Ih2XL03BeRKfHw5MnTNV+edH/xzxH6OjYz/79i3CYEglImI5jY2vAhpmz36K8vJb0elimDHjzxw8eDXh4YtZtGive25gCGy2dvbsycRiOe3Vnjz5O8yY8Sggs21bEEJoBl3XX2qCI/aFXLXkURZPmsvBg19jR+V7A4YJz11wBVcuenzIVX5DUV7+fWpr/8r8+f8btC6iLMvs3j2d3t5KZsz4M1On/mBU1wHo6Cikqur3tLZ+QFFz64D7eHbtJVyx6C8jdnyOBlen5vZ0+6PB50uTTwqbNKqHFR6+kIiIHHp7K4mL+wKzZz8PQFnZTYCavCM+/iqCg2fQ0ZFPa+s2l8o9HLTaCJYvP0Zk5AXObbW1T/Dpp8mYzUeJiFjiUABnP/J0I/x83cPOZ2MybTurcOpxedmoFQCAXq8uz7NYagfdX15+M729lURGrhuTAgAID88mPX0Ty5efPOs+KlntEQUA7qsvCKctjfu23ueV2omuxCcWEA2HuXM3AYKKittITLyOpUvL0OniURQLstxNT08tc+aouesPH77OKzJKkkR29mYmT77NsUVgsdSwd+88DIZUAPT6KYOdidG4itbW7ezcGY0sd7EgUotBG+Sy+nN6/SSAQXMNNjX9l/r6Z9FqI8nMfH9M1+nP4cNfJ9sIeo3W7QVgPY07ioQON4zY1eHGPptP4EyCg1OIjr6ElpZ3OXnyr0ydejs5OTXs2pWAzdbCp5+mMH/+G0RErKS9fSd1dc+TmHi9V2SdNeuvhIbOp6KiL+hHcgxhxKDLdw2GyZw48QAnTqiJmnW6BG69/CQLFux1mbmp16tWhMUyMCTXYmmitPQqQJCVtXVAlN9Y6OwspanpP2TFxPDxdW+x7cQ2nzKbx4qrg32G68Nwh6/DbywBgDlzXgQkjh+/11FWS0tsbN+CFRslJVdiMKQBgiNHfjCsJbLuYsqUb5OVlYuaftHmWEasAGdXIbLbe5wKICIih5Ur65EkrUvNWYNBXYpttTYN2F5QsBpF6SUt7dfndBiOhtLSLwIwZ84LrExe6Taz3Fv0Bfu4qrr1cC0Ld1ggfqUE9Ppo4uOvxW7vpLJS/WhCQlQP9pQpP0KjMdLY+BKSFI7dbqKy8mfeFJeoqDUsXVqOVhuN1dp41lCg1AQvV0FRs/phTpr0bRYu3OUWWfo88DZbi3NbefntmM2HiYhYTkqK6xKy1NU9j9lcTnj44rMWEo0nXKmkh1t+3B1lyv1mONDH7NlP0tj4KtXVG0lN/QVhYZkAyHI7K1bUU1S0zllt570Df6Ct2sAF0z7rtV4oODiF5cur2b9/kbMiUakJPmiA9+vBrqhe89cuvYO1c/7kNjl0ur44AXV6sqVlM7W1j6LRhJOZudll15FlG0eO3AZIpKd7vgisvzLcMGJ3hBv7lSUAoNEEMWXK7ShKLxUV3yMsTA0YMpuPo9EEsXBhHsnJ9zkixuz8PPd+r3tvtdoQFi8uJSbm885ItrfrwKr0ec0lDnbHeEASCbu9HZut3ZEOTJCZ+YFzEY8rqKj4DnZ7J4mJNzmzQQUYHsO1LFw96+F3SgBg2rQ/Ikkh1NU9ixASIJzVftT9v+KovLJf2irXjJ3GgrrU9i0O987BKp9eLSEAvcbgEa+5EFrs9i4KCtY4FvHcPWimoNHS03OSurpn0GjCmDnzCZe1G8C9+KUSkCSJ1NT7ATuHD9+IJAVjs512eHV1HWK6tMuZuceXpqauWf40Ogk0CPQaPd9edKvHotmE0GGxNNLVVURoaDbTprm2UpOaVUhmxoxH3ZIcJYB78Nu/VHLyj6mq+h3NzW+h08Vhs6mr6GTZQkHBKtKNCn9bkcXOmiK+vPj3PuOZXpm8kq037PJKpFlJm5WCNgsLogzcsuqT858wApqa3qWjI5/g4Flem5oNMDr8VgkATJ/+MGVl12O3d6EovciyTFHRhdhsLSQkXM/syHWkam4gyVDlbVEH4K788UORV53Hj4osavjuiV5iYm7iC4ufRK+PHnPbsiw7A7TS0/895vYCeBa/HA70kZh4HQbDVGS5C4CjR3+MybSN4OCZzJ37HDExai789vbdQzUzITgzGcrHR/7Frl0x7N49h5MnHx9TTEVl5X3YbM3Exn5h0CSxAXwbv1YCALNmPQ2o025/yHuIgx16FixQ59r1+miE0NPdXeFNEX2CtalrMWiD0aBOSS5PSCMoaDpmcxlHjnyP7dsNFBZeQFvbjhG1a7W2UV39B4QwMGfOS+4RPoBb8evhAEBMzEUc7AjnjuIONYFEtWBBdgU5Seqaeb1+0oCZg4lK3/zy1uNbie18iOmG46SmvkhU1AYqK++jsfEN2tq2Uli4Gq02ktjYL5GW9hsMhklDtnvw4FdQFBtpab916VRjAM/h95YAQElneL/pQNuA6UA1otCO2Ty+E1cOh5ykHO5dcy9fX7sb0FBWdhOKIjN79lOsWtXKggU7iIxcj93eRX39P8jLS+TTT6dTVbURWbad1Z7JtJvW1o/R6yeTknKX528ogEsYF0pgbcqa04U8hDJgOtBoXAFAc/Ob3hHOBwkJmc6MGX9GUawUFKx0+gOMxpVkZ3/M6tU9zJz5OMHBc+jpOcaxY3eybVsQ+/evoqXlI2c7Bw9eBcC8ea955T4CuIZxoQTmhJnYmAnfmhHBxkyZZKnQuS8m5vMAtLV5PseALzN16m1ERq6jt7eSiopvD9gnSRJTpnyHZcsOsWJFM5Mn345OF0V7+06Kiz/L9u0RPPV+Cs9UVFFpzyYycpWX7mJ4+EqlH19lXCiBnp7jpBsFf/5SKfMjtVRU3O40/0NDMwHhLBUe4DSZme+j0Ripq3ua5uYPBj1Gr49m1qxHWLmykUWL9hEdfSnFLd3cvreKZ47Ddz897NMfV151Hhc8v4afbbnX6+Hjvsq4UAIWSwOSFEJQ0FRHuKqdwsLVjuXGElptVMA5OAiSpCcz8yNAUFr6BWy29iGPDw9fSErKzwcUULHYrV4PyR4KdemtzVH41ezTsnqLcaEE7PYOdDp1NmDy5JuJirrQUcDkZgCCgtKQ5W7s9h5viumTGI1LSE7+KbJspqDgM0MeazLtprBwFdlG2eXLWd2FuvRW4yj8CjN0ZxdcneiMWQkIITRCiAIhxNuuEGik2GydKIqNoKAk57aMjLfRaiOpr3+W5uYPCA9Xs/62tg5u8k50pk37NaGhWXR1FXLs2H2DHmMy7aWwcBWKYuOLS59hy/W5Lkuo4U5yknJ4dt1l3JQGD2Xpiet5hbq6F7wtlk/hCkvgB8Ch8x7lJtrb1TFecPBs5zZJ0pOR8SGqmftFjEbVcdXS8qE3RPQLFizYhiQFU1X1W9rb8wfsUxXAChTFxuzZT5OYeKNbk3i6msUJM7g2GS7P/h3q1OiNmEyBKNI+xqQEhBBTgcuAp10jzsjpCwkOCxuYGstoXEJS0k+Q5W5OnlTLk3V05J91fgAVrTbCkQREoahoA7KspkZvb8+nsHAlimJj1qynSEz8pncFHQUaTTigJlaZP/9fgExR0Vp6egbPvDzRGKsl8GfgLs6sAdUPIcQtQoh8IUR+Y6Pr686rJaxOxwP0Z/r0BwkJmUdn535Ai9l81KXXHm9TTzExF5GYeDN2u4ni4ktob8+noGAFimJl1qynmDz5Zm+LOCr6lIDNZiI29grS0n6DLPewb98Cp7KbyIw6bFgIcTlwSlGUfUKItec6TlGUJ4EnARYvXuzySid9H3Zo6OBJMrOzPyEvbyqK0jsgv975sNt76Ok5Tk9PJb291fT21mKxNGC1nsJqbWZ/40m+t/sYVlkZV7XuZs78O62tm9l5YguPFS8h2whfWPJ3v1UAAFqtWtLJbldnP1JSfkpnZwmNja+yb98yliwp8KZ4XmcsawdWAp8XQlwKBAERQoiXFEX5umtEGx69vbUIYThnLT69Ppa5c1/i4MGvUGpS+Pc/55OTmMp8o8BqbcFma8Nu73AUujSjKFZn5d2h+LSeszIXjQclIEkSPXF/5o6PrsAqg16jY+HCDEZf9sT79BWptds7ndvS0zeRn19GZ2cBpaVXkZ7+urfE8zqjVgKKotwD3APgsATu9LQCALDZWtFqo4Y8Jjx8Ub8qtaU8ebi0X2Vk4ShzrUejCUejCXVURo5Cq41Br49Hr5+EwTAFgyGZoKBUgoJSMNTs4+Xq9S7LO+9LfHKi/7Jj2e8VXN/7oZaNP83ChZ+Sl5dEY+M/qaz8Damp3s1O7S38ehWhLMsoSi8Gw7n7qZqaJ6iouP2MclgSLRE/Zs2aB85bzfdcuCPrq68wU1eKTlKf03hQcBqNmmnZbu8asF2S9CxeXMTu3dOorLyPgx1aitqUcff3PB8uUQKKouQCua5oayR0dalrBIKDp5+1T5YtHDhwGa2tHyOElsvT7+TFE3/CJquJPTfMuGLUCqAPb2QI8gTJYi8PZWloi/wV69LW+f099qVb70s+0x+DYRJZWZ/wUu4y7th+D1ZZYNAGjRsfz3Dwa0vAZFKTh6jrA07T0bGfoqIN2GytGAwpLFiwg6CgqWw8uZHSrmi+sfp/E+YPPFI6Ooqx2VrJSVrDggX3elscl6DVquncz7QE+ujo2E2hSWCVFWQUem1m3si/g8WT3nUqkPGMXyuBzk7VEoiIWObcdvz4Lzlx4peAwqRJNzJr1tPOHj8jKoSsGCWgAIbgxIlfA5CUdIeXJXEdWm2fJWAesL2p6V3Kyr6J1VpPtlGgk1RFoJNgmpTHzp3RhIZmkJLyU+Ljr/KG6B7Br5WA2VwGqPX7bLZOCgvX0tm5D0kKYt68fxIbe/mA43W6KCyWBm+I6je0tn6AEEHExn7e26K4jL5OoE8JdHQUc+jQNXR3q4GuUVEX8q0Vr7BwYQWbj71HYu9rTNeXAwpdXcUcPHg1hw/fSEzM52k0fIVdtYfHxTCpD79WAj091Qihpb19NyUln0eWuwkJyWDBgm2DmnE6XQK9vSedqwsDDMRk2o3d3kFU1IXeFsXllJqgtLaSEtNCUiQ1LiA0NJN5814lNHQudnsPmdHRzA5dTW/vdBobX6Ol5T1Ardcgy2Zyj7zKHcWvqmnstgex+bot40IR+LUSKGhqoLBVIattA+lGQVLSXUyf/vtzHh8UlEJn5z7M5gpCQ2ef87iJSlXVbwBITr7by5K4lp1V2xzTw408c7SRjZmC+ZEhmM3l7N2bAdiHPF9RrAADZph6bT1sPR5QAl4l9+jb/KiwR82jL8H/vvw3pk+/ZchzgoNnANDZmR9QAoPQ2roFSQohKuoCb4viUj6p3DYg3XqRSUNmtAZJCkevD0WrjUCrjUSrjUKni0Oni8dgSMRgmIxON4Xa2sdoaHiObCPoNRqsdjtaCRLMzyDL9/i9Vem3SuDjitcH/GF31h7kwrlDnxMamgFAZ2cJCQnul9GfaG3dgix3Ex19mbdFcTnr0tZj2P4bLHYbeo2eG9eNbPrPaHyWxMRvojlwGX/KaOdAZwRLYmOYbjhGYeFqFi7c6Ubp3Y/fqrDL0r+DQRvkzKMf1/kXyspuGbKIRnh4XwXjcg9J6T9UVf0OUOPqxxtqYNfWMeU/iIxcxcqVjaxKvYhrprQz3XACnS6O9vZdFBdf6gapPYdQFJev6TknixcvVvLzXbecN686j9zKXLKjNIS1/ga7vQOtNpr09H8RFbX2rONlWWbbNg3h4YtZtGivy+TwNjurtrHtxM4xRbpt2xaMEDpWrx46xVgAaGh4mcOHb0JRLAihQ1GsxMV9lfT0V7wtGkKIfYqiLB7JOX47HICBEXuy/CMOHfoGjY2vUlS0jujoy0hPfwONJsh5vCRJjsq842eaMK86j/XPf8bhG5HYdMl3uSzzlyOqMdjU9Day3ENs7PgbCriDhIRriYq6iKKiC5wJbBsbN1FeHsWsWY95WbqR47fDgTORJC3p6ZtYsGAPOt0kWlreYefOaBoaNg04TqMJw2Zr9ZKUrmfr8a0DFvu8e/BRdu2KYceOKAoLN1BT83dstu4h26iu/hMAKSkTcwHNaNDrY1mypJjU1F8CAoDa2sc5csT/ZlbGjRLow2hcQk5ODUlJdyLLvRw69DX27VuGxdIEgE4Xi90+9EfhT6xLW6fWGBQaDNogLp7zTcLCFiHLvbS1baai4lZ27Ahl5854iosvp6Hh5QGJNGRZpr09D602kvDwwXMyBDg3qak/Z8mSUnS6eAA+KP09d/xnhV8lmvFrn8D5MJuPU1x8CWZzGUJoSUt7gObmtzGZtrFqVQdabZjHZHEnfb6RM30C3d0V1NU9RXPz+5jNZShK38cv0OsnERGxkkMdej6seIV1aZ/la6vdk4j1XPKNJ2RZ5pXtF3Dztk+c09aPLkli6eR0QkPnEx6+hMjItej18W6VYzQ+gXGtBPqorv4zx47dhaJY0WjCKW7poCHkFi6Zc8O4fSkHo6OjkLq6p2ht/ZienmOUtNkcQTRg0BrYfN1Wlz+PvOo81r9wOu/CeF6d9+D2B/nZlp8ioyABN6UJrk0+8/uS0GjC0OsTCApKIzQ0naKWDoraJC6ZO/b3ccI5BodLUtIPSUi4jpKSz5FXvcvx4j/Jn/a8OK5fyjMJD88mPPy042rzh7dglZ8aUMjV1c9CLf5hwa7Yx1UGpsFQy78HORXeTes2syAuCZNpOx0de+nqKqGnpxKLpQGz+ShmcwU7Kj90KuI/7fXO+zghlACo5bQWLtzJxLjOqQAAIABJREFUppPrscpbxl1asNFwydwb+cPuf2CVZbclD1GLf+jHZQamMzlXopmgoK+SkPDVs47v7a3no63/h1V+dUCFpIAScDNfXPAbHjswPtOCjZScpBz+tiKTnTWF3LD2I7e8fOM5A9NgjCTRjMEwicvTv8/D+97CYjOjlSBN2uNmCc9mQvgEzmQiOKqGS1HRZ2lt/YhVq0zOhJwBPEtedR5bjn1IdMcfmRvWxdy5L5GQcO2o2gr4BIbJeE0LNhokyQCAzdYeUAJeou997Oq6ir17Mzh06HrCwhYSGnqexTAuYtzFCQQYGZIUDKiFOQJ4l9DQucyd+zxgp6BgxXmDvFxFQAlMcPqUQP+c/AG8R0LCtSQm3orN1kZBwUqPXDOgBCY4khQCBJSALzF79hOEhS2gq6uQsrKhc2S4goASmOBoNH2WQGD1oC+xYMEutNoo6uqecnsp9YASmOBIUjClJng4f5NfxbuPdzSaIBYsyEMtpX4TnZ2lbrtWQAlMcPY31nFHMfxh7xusf2F9QBH4EKGhs5k790VUR+FKtzkKA0pgAmO1tvFB2QtYZbArijOCMoDvkJDwVSZP/i52u4mCguVuuUZACUxQzOYTfPppCtlGOzpJfRG0ws7KKYHlxL7GrFmPERa2iK6uAxw+7PoS8QElMAFpb89nz57Z2O3tXDj3drbesIvvZyxgYyaImmvo6anytogBzmDBgh1otVHU1/+DurpnXdp2QAlMMJqa3mX//uUoSi9pab9n1qxHyEnK4eEv7uez836I3d7Onj1z6Oo65G1RA/RDowli4cLdCKGlrOxmOjqKXdZ2QAlMIGprn6ak5HJAZu7cl0hJuWvA/pkzHyYl5X5k2Ux+fjYm0/hJxjoeCAmZydy5LwMyL+Yu47ef3O8SR25ACUwQjh+/n/LybyGEhqysj8+5QCUt7RfMmPEIimKhoCCHlpbNHpY0wFDEx19Fve5L/Kiwh5/n/tIlMzoBJTABOHz4Jk6c+CWSFMKiRYXnrTA0dertzJnzIvx/e2ceF1d57//3c2YBhmXYQgJhyUYWIJBAIJLNmLjVtNpbqz9vrVv1+ru3trU2rVf9Xatdrnrb2t70Xmtr3eJSrdVW29TGLVESQjYSIEBIIGFLgBAgmbDMMDOc5/fHGSaQENaZAWTerxcvmJnzPM+Xc858z7N8v58HlZKSq2lufsc3hvoZFofO6dzisp5Y0fncOIGC+gKe3PGkf527D6qqUlx8DU1NL6HXR5KTU0lISOqwys6Y8XXS0t4FoLz8JhobX/CmqX5GwILAGgwK6ITOI5oYn4tU4qmkYzdc8ut28If8m0kxNZEZk0R2dumIhVWjo68nI2M7JSXrOXLkHpxOCwkJ3/O4rX59h5ExW3+EXy4xYgl/3CPnbNROQAiRALwCzEDrmTwnpdw0JmtGyVTSsRsOnxz9Exv+eLNL9VbwyR2vjlpZOSJiDZmZ+zhw4DKOHduIw9HKnDn/OWYbHY6zdHVVsqN6C1/9209wqJIAfZDfgQ+BzdZAT4+F5XE5ZGU97JE6x9ITcAIbpZQHhBChQKEQ4iMpZblHLBsBU0nHbjj85eAD7jGjUwryaneyMnH1qOsLDV1CdvYh9u9fSl3dE+xtLKdazXE/hVTVic1WjdVahdVaTXd3PXZ7A3Z7Ew5HKw5HG06nBVW1UnrWSpEFlpgh1Qzv1XHR+NbvBC5NQ8OzAEybdrPH6hy1E5BSNgKNrr/bhRCHgZmAz53AVNOxG4wTJzaxKPAkBkX7cumFSm7s2LdhN5mSyck5yksfL+CBg+/iUN/FoMDT6dqXeTiUWXAr62plBVlRIbxa2+56TzflHfhQtLS8B0Bc3L94rE6PzAkIIWYBS4E9A3x2L3AvQGJioieaGxC/ZJi25XpV1fdICzew9Wtvs7Xi9yQ4t6Bvupee2df125dxNAQGxlHeNQOHWuXeEr7IIkgL1wM6FEWPEEYUJRCdzoSihKDTBaMoASiKkaMtdTjUcnfZc5H/ycOrHyYs7Bq2V3/IirjkSXkNfTmnYbVWYDDEeFQKbsxOQAgRArwDfFdKeVFSupTyOeA50IRGx9qen4FRVTtFRWvQAoHeIibmetbOvZ7Dh+/k1KnNHDiwnOzs4jG1UVPzUxYGVGFQwCl1bm394d74t0QU8Psj6+l2WjEokG7WtpH/ctazxPXMRVFqx2TfePDaZ+u5J2+bawMX785pnDnzKVI6MJtHP7QbiDEtEQohDGgO4HUp5Z89Y5Kf0VBcfDVO5xlmzLiTmJgb3e8vWvSyK/mkhLKyr426/tbWD6ipeZTFEYF8eOsWfnLFT0Z8w/cO2x5Yspqn0yHkzOOoqorJNAcAVfWuupGnl5HLy2/js9pt7jmNbqeVPxR8DYulwCtL1g0NvwMgNvZuj9UJY1sdEMALwGEp5S89Z5J/yWik1NY+hcXyGYGBc5k//+L1/MzMXRQUxHP69BvU1WWRmLhxRPXbbHWUll4PCDIyPsZsXsmaOaPbxlwbtuXx2WeBSNlNefktpKW9hRABSNmN3d6B0ej5PSLz6/LcW7iP9YltszVQVLQKm62aJWZcPSOBXkgWBtTw2qcr+mzv5rnegcXyGaAjIuKaMdfVl7H0BFYCtwHrhBBFrp/rxmpQ75r/o9sf9YtcDIP29gNUVz+CEAFkZu5CUS6+pIpiJCvrAEIEcPz4D2hr+2jY9auqncLCZUhpZ968TZjNnhG/nD//eQBaWv5EZ+dhAgNnAXDixNiXHwfio8p3+j2xX9v5Fbq720ZcT2PjK+zZk4TNVg1ok6LP5i7ksdX/zub1N7I4IpgiC/3a+nv5s2O23+nswm5vxGRKHvAaj4VR1yal3CmlFFLKdCnlEtfP+2M1aKA1fz8D09Njo6joCkCSmvr2oDveBgbGk56+FYBDh76I1Tq88XdR0eU4HKeZNu2fiY//tifMBiA29usYDNMAKC6+kpgYbajS3Py2x9royzXzb8Go06OgPblTTE0UFESxa9dMLJahN8RRVSeHDn2JI0fuQEpnv8/mBTSwWjzFdPs7qGqnu3fQ21as7VX27k2ho6N01PY3Nb0IQFTUl0Zdx6WYcGHDvWv+ngqJ/DxTXLyOnp5zxMb+K9HRXxzy+IiIte7koMLCTHp6bIMef/Totzl3bjcmUwqpqX/wlNluUlLeBMBub6B3I6zubu9oGeQm5PLx7Z9yz1wTT6dDdmyau+2DB7PZsSPsknn6HR2l7No1g9bWLeh0F6+H9hVp1etjSDXD82vW8tN1T/D+LW+QE5dOV9dh9u9fTHHx1djtI++BNDdr5you7r4Rlx2KCbkNmX9OYGiqq39Ebe3jBAUtZPnykeX+V1TcRVPTywQHLyY7e+C89Kam16iouA2dLozc3JOjjjgcir17U+jqOgzogB4A1q713j3Z0vI+paUbCApaQHZ2CWVlt9Da+i7Q26aemTO/xdy5/8Wek4X8pehxktQPXbEQerQYuYsxmRaRmPgfVFTcik4XxsqVrSjK+Sm31tYPOHLkLuz2RkBHbOw9JCf/b79jBiMvLxghdKxePbgq9Gi2IZuQTsDP4FgsBRw8uBJFCeCyy05iNEaOuI7Cwmza2/czbdotpKa+0e+z9vYSCgszAVi2rHjYSUejQWsrw/VKAVQyM4sIC8sYrNiY2L9/GR0dhSxYsJnY2NtRVZWqqgdoaHiGXkd0cWDT+aAoIYxIadcsVkJISfkjkZHXUlAQi8PRTHr6h0RGXjVg2ydObOL48UdQ1S4UJYjZs58gIeG7g9rb2XmEffsWEh5+BUuWbBv02NE4gQk3HPAzOE5nByUlVwOStLS/jsoBACxdmo/BEMPp029SW/uzPvWfo6hoFdDDokWve9UBAISGpmM2r3K90uIG6up+6tU209L+DAiqqu5DVZ0oisL8+ZtYs8bO7Nn/hRAB/Sb37Cq8UqdJswMuByAAWLGikejo66is/CYORzNRUTdc0gEAxMffz6pVFuLi/g1VtXPs2APk58fS2vqPS5Y5efIZgFFvUjoUficwySgqWktPTwfx8Q8MerMNhbZiUIgQAVRXP0Rr6weoqkphYQ49Pe3Exz/A9On/x4OWX5pFi96g90sFWlCMNwkMTGTGjDvp6emgsvJb7vcVRSEp6UEuv9zG0ohgDIpmlQT2tVnZWAJlFsHMmVomZUBAEnp9CO3tRTQ2PodOF0pq6ltDtq8oeubP/w0rVjQTEXE1DkcThw5dx9696QPKup058w9AMH36bR46AxfY45Va/XicgvoCvv/u5ew5WUhw8GLmzRt7aEZgYDwZGR8D8Mf8DXz3nUXsbzqC2bzKI/WPxI6oqOsBrRv+SnWL15eG589/DkUJprHx99hsDf0+6+5uIiW0k6fTdWRFnHcEDhXOhj9GYGACIJk27UZUVaWk5AuAJCXljyiKcdg2GI2RZGR8wLJlpZhMqXR1HWLfvhRKSr6Aw3EW0DQhrNbjBATEj6jukeB3ApOAgvoC1m2+nF8V57GxBGzTPPcFDQ9fhSX0e3yvuIdnyo+ysQS6op7wWP3DZeHClymzKGwsgRerYf0rV3jVESiKnuTkTYBKWdlX+n1WV/ckADlxS7kzCYyu5T6j3si6OVfT1PQyAAkJP6Cq6n4cjiYiI68jKuoLo7IlJCSVnJxS0tL+hsEQQ1vbVvLzozl69Nv8o/QJXq9TqXGmjeG/HRy/E5gEbCn7NfYehzs1eGe9ZwVAy7ui+qQeK+TV7vRo/cPBYAin0pHSJ63Y4fUYkdjYuwkKmkd7+55+AVSnT/8JULDZKkk1a9mO35gNb177LZbPXE5nZykGw3QcjhYaGp5BUYJJS/vLmO2Jjv4iK1eeYs6cn6EoRj46/L/c+N6jvFgNd+dt85pTnHBOwC8T1p/Gxs3Edb/pkpNSMOoCPR47sXbWWgyK0J52uoBxi81YGnl+HA6SKFOU19tMSdH0Ew8f/joANtsJ7PZGFMVET482E5hqNnJrIqSF62lu/gPQQ1TUdZSUXIs2DPiDR7vqiYk/YNWqsxxTl/Vxik6vOcUJJS/mlwnrz4kTv6Gq6j7SwvW8d+MmDrRavBI7kZuQy6+zotjfcoa7RpAV6ElU1c4sXSH3zYVNVaBKyXe33s/imMVetSc0NJ3IyA20tf2d6urHsdtPuezRkplMpgy6urTsy+7uRiyWfACkVLHbTxIRcQ3R0dd73C5FMXLTsl/z2/J12Hu6vRo4N6GcgF8m7Dx1dU9z/Pj3EcLAkiX5mM3ZeDZtpD8pYT0sCjWN2/muqfkRUjo55wQptYm4bqeNdwp/wPKZeR6Pl+9LSsqb5OdHUlf3BHA+KGr27CfR681UVn4TAIejifb2/eh0oZw69QqKYnKLsXoDLetym9cD5ybUcMAfMqxRXf0jlwMIIDNzP2ZzttfbVFUbimLyejuXoqHhtwDuuHudUDAoMFvks2vXNFpbP/Ba23p9CElJP6T0rIPXas9QZoGwsNUkJT3EjBl30TtAsVqPI2U3quoEJIsWvTZmoZahyE3I5eHVD3vVOfu0J9Bp7+TJHU9e0qv5ZcLg2LEHqa//OYoSRFbWQYKDxy4NNhxU1U5AQKhP2rqQlpYtOJ1aPH2qGd7+0o841G5gTdJKzOf+h5aWtzl06FrCwlaSlvYuRmO0x22oVZf0ixDcmqpF8el0gQQExLt1EwGktBIevp5p0/7J43aMBz4NG1ZmKlL5v4p/vH8Jjh69j4aG36DThbBsWSlBQUk+a/vTTwUhIVksW+b7sO7du1Ow2bQgmYCARHJz+2c4treXUFb2ZWy2aoTQk5DwoEcUj3upq/s5P/30IV6oVlHRusffmA3fXLyaBQteor7+KRobn3cfryhBrFjRgl4/fj2nSzHhw4Yl0p8ifAkqKu6ioeE36PXhZGcf8akDcDq1pBSDIcJnbfZis51wOwCAtLT3LjomNDSdyy47zrx5/w3oqKt7gvz86Zw5kzfmtvfuTeH48QdZEi76pBoLsqOjsVh2sHfvPCyW/ZRZ4PU6LZhp4cKXJ6QDGC0+dQICMeXH+wNRWnoTTU0vo9dHkZNTSWBgnE/bt1prANDrPd/NHgpND0EjPHwtoaFLLnlsfPz9rFzZRmTkBhyOZoqLL6eoaL07um4k1NY+xe7ds+jqOkxISBb3XNvMtjvyuHu2wq+zIrn3utOkpPwJgyGOfY1F7iCmjSWCY90Jo/pfJyo+nRNYELWA26+4fcqO9weipGQDbW3vYzDMYPnyIx5VkR0u3d01AIOKkniD1tZPsNmq3K9TUv44ZBm93kR6+hYsln2Ul9/I2bPb2LUrhlmzHiMp6f8NWd5mq6O4+Bqs1gqEMJKc/Bvi4u4FtDkpdW48DkcdJSUbaG/fh8Nxul8ykVOKz92qlU97AsHGYK/PdE4WVFWlqOgK2treJyAggeXLj42LAwCtWwxgNMb6rE2ns4PS0vNhtjNm3DkiJ2Q2Z5ObW8fs2VqIb3X1f7BrVzwWy0Wq925qan7K7t1zsForCA3NITe3kenTb6excTMlJRvIz4/B4dBETdra3sfptGAypXDVvJvcSkF6IT93vdgJFScwVVBVlYMHc2lv30tQ0Dyys8u8lhwyHOx2zQloiTG+oahoLVI6ABAigPnzfzeqepKSHmLmzG9SVnYjZ858zMGDlxEZ+QVSUt5yC6FYrbWUlFyF1VoJGJg+/XYcjlPs27cQh+O0uy4hjBiNsdjtjUyffgeLFr0MQKbzHKdP/4kii2CJWZIcdHoASyYvE2qJcCqwoyaPNwtuJsV0iuzYVJYtKxq2uoy3sNubAC011hdUVz9OR0eh+/WsWY+PyQnq9WFkZHzE2bM7KSu7iba2f5CfH0Vb8L+w62Q5s9jeRxnIwalTmoyYEEZMphQiIq5kxoy7CQ1Nx+k8x86dZpfakUZb21ZSzZARFY3TeZrKyu94JUpwvPDp3Xek9QiPbn90yi4R7qjZzlWvrju/UejS3427AwDcT8NexV9vYrHso7b2x/Qm6Or14SQlPeSRusPDV7FyZSPHj/+Qfxx6go15z/RTBkoLVwgK6v+lvxC9PgxFCaar64j7vTNntgPanElgYCIdHYW0tX00Jj2HiYR/idBHqKqTN3bdfEG23tiWuDyFw6EF6hiN3l2V6OmxUVJyFVpQsBafsnDhyx5vZ86cH9MW9pD7XDtUqOrJ4vLLu8nJKSM5edOADqCXoKA59PRYUFVNQqyj4wAAen0ECxZoqr+VlZ4X/Bwv/EuEPkBVVfbvzyA1uEULiYUJdQ4Onm7g9TrYc/LSk2qeoKTkGnp6LBiNMwEwGKYTHX2DV9q6ct6GfrLf83SFFBTMoqurcsiyYWHa3gotLX8FcO0xoCCEjtDQdIKD07FaKzl71vcp197Ap05gQdSCUW1fNZnpdQBdXeVcFp/Db3OX8G+LZk+Yc7CjZjv37a1xCXl4b7OXurqnsVjyqLTN5KWqk5RZYPHirV5pC7Tlvl8tDeYbs+HDW7eyMmkt3d217N27kGPHHh607LRpmshIa+vfAK2npO24p9G7ccrRo/d6yXrf4l8i9CKaZl8mXV2lhIRksXRpARlRZr6RnDju58BmO8GhQ1/ilbz1fXLWvTNM6+go4/jxByk/p+Pb+066gm6gzGL1eFt9SY8wcWsiLJ0Wy5Il213yXwHU1z9FQcEsOjuPDFguPHw9IDh3bg9WazXQg053PkLQbM7GZFpEV9dhLBbPCryMBxMqi/DzhKqqHDiQTWdnMSEhS8nM3OvVdNjhYrEUsH//MnbvTqC1dQuZkSYMivDaECW/bgcb/5JFmUXl4NmefnMi3p4XEiIA0LbzBoiJuZkVK1oID7+C7u5a9u1bxLFj/35ROUVR0OsjsdlqaW3dAoBO1z+GY/785wA4evQeb/4LPmH8p6Z9iK82NdHiAJbT0XGA4OAMMjP3j7sDaGx8hZqaR907/AQEJDFr1o9ZG3s7QUFLKWy18LXc1z16XgrqC1i/eY17hv7+BZEYlDM4VekTBaPeNF8tPkBDrzexZMk2mpvfoqLiTurrf0Zz85ukp3/YL2MzODgViyXPLTum1/eXdg8PX0VQUDKdnSW0t5cMOtE40ZkyTqCgvoArXl6FQ1UJ0Afyye3bvOIINAewgvb2/ZhMi8nKOjBuDkBVndTUPMbJk8+4pbJCQrJITv4fzObz/3tGpJmMSDNLPXw+Pq35tN+TPzz2+/w26i2vOJyB6NVHsNlqLvosJuZmIiO/SGnplzh7dhv79i0iIeH7zJ2r7cEQHr4OiyWP9va9AOh0F6dZJyc/S0nJlRw9ejdZWZN3WDBlnIB2Q6qunWJtvLR9DbqF8wgLyyU6+qtERl495jV7LRR4Ne3tezCZUlyBQL53AHZ7C5WV36Gl5W1XVJ6OqKjrSU5+hsDAeJ/ZoWkXKjhV1f3kD2z5wCsOZyAUJRiA7u6TA36u9Qo+obn5bSoqbqe+/ueuXsEHxMTcTG3t4zgcLeh0YQghLiofGbmegIBZtLfvp7PziM+0HzzNlHECvWKaDlViUGBpZABdXRV0dVXQ1PQSIDAYoggOXkxExFVMn34rgYGJI2qjuPgKzp3bRVDQQpYtK/a5A+joKKWy8ptYLDsBiaKYiI39V+bO/ZnXFXAGIjchl9+uSO/35D/Y4rv2e6MQe3UDL0VMzFeJjLyOsrIbOHPmY/btSyU+/gF690cMCLh0OHVy8iZKS2/gyJFvkJmZ70HrfceUcQLaDZnB3uZGUk2nSDMLli9v5dy5XbS0vIPFshubrZqzZ7dz9ux2qqsfQYgAAgOTCAvLZdq0fyIycsMlewtFRVr3MSgomezsQz6JBOyd41gSoSOy8wWs1qMAGAwzSEp6hLi4+8Z9LsJbQ43hI3A4Woc8Sq83kZHxEc3N71BRcRsnTvySMougyAJrZ8WSYnAMWC46+nqMxpkU1O9ii+UHXDXvK+O+8jNSpowTgPM3ZFjYbdTX/4JXt2fRbLqXtbPuJXehFk9us9Vx6tSbnDnzAZ2dh7BaK7Faj3Lq1GYA9PoogoNT3b2FopYm3th9GwuMx8iaPpfs7HKfOYDeOY7esNjs2FTmzn2aqChvSpJOLsosgpL2UxBf4P5y9vTYsFqrsForsdmqsdlq6e5uwOFoxuFoRacL59CZbjaWqDhUeLX2Y55OF6SaFXbujEJRAlCUQBQlCEUJovyc3iVN9gue2vXMhIkBGS5Tygn0Mnfuz8mrfp/79pbjUB/BqNOzed1XyIiKRFWtqGo3Ol0YoaHLcDqtOJ2ncThO4XS243S2YbHkYbHk8ffiR/vo0gk+ueNFn+UC9J3jcKrQEvoAOTm+2zpsMlDcZnF9kW1srl7BLzP0pIT1cH4b8oEQCGGg5JwBh9rtDjsutghSzQIp7TgcnUAPUmp17WnmolgLvxOYBDQYb8Gh/tC9scNHVW8RYx9OSeH+KbKoF+QC5LMycY03zXbTO8fhVCVGfRBXJ9/kk3YnE4Wtln75A4faTSybkYjBEIXRGIPROJPAwCSCgmYTGDiPoKC57rkTY30Bm2tWaZOa+iBWzFyA2Wxm6dJPL2rHULeDV2svdy19Tpxw8OEyZZ3AutlX8pPPHsPhunBfyfwx6XGZ6HQhKEowen0oOl2wa2bYOODYOqC+gFdrXTeKjy9+7xyHr5bbJiNZUWYMitZTMuqDuH3NVnKGeZ4unNQMbLl0qPHKxNWT+lqMyQkIIa4FNqFNoz4vpXzKI1b5AE98iQaa/fYl4z/pNrHJiDTzq6XBlHfFjOr69D2/Q61qTOZrMWonIITQAc8AVwEngH1CiL9KKcs9ZZy38cSFm8wXfyqQZtZz2cxE//UZhLGsH+UAVVLK41JKO/Am4J28UD9+/HiNsQwHZgL1fV6fAJZfeJAQ4l6gN+eyWwhROoY2PcSF0V8XR4MB0cAIQlsGrMODxw9Z1wjtvWQ9XqJf3dEgfBg29NmF7Y8Q0efcDlWPN8/hsBhx2OJYnMBA/+1Fay9SyueA5wCEEPtHujvKeDGZbIXJZe9kshUml71CiBFvITWW4cAJoG88ZTzQMIb6/PjxMw6MxQnsA5KFELOFEEbgFuCvnjHLjx8/vmLUwwEppVMI8S3gA7QlwhellGVDFHtutO2NA5PJVphc9k4mW2Fy2TtiW326K7EfP34mHuOvd+XHj59xxe8E/PiZ4vjECQghrhVCHBFCVAkhPLPdjJcQQiQIIbYLIQ4LIcqEEPePt01DIYTQCSEOCiG2jLctQyGECBdCvC2EqHCd4wkbyieEeMB1D5QKId4QQvhemWUQhBAvCiGa+8beCCEihRAfCSEqXb8jhqrH606gT3jxF4AU4J+FECnebncMOIGNUspFwGXAfRPcXoD7gcNDHjUx2ARslVIuBDKYoHYLIWYC3wGWSSnT0Ca/bxlfqy7iZeDaC957CPhESpkMfOJ6PSi+6AlMqvBiKWWjlPKA6+92tJt05vhadWmEEPHABuD58bZlKIQQYcAa4AUAKaVdSnl2fK0aFD0QJITQAyYmWByMlDIPaLvg7RuAza6/NwNfHqoeXziBgcKLJ+yXqi9CiFnAUsC7+3ONjf8GHkRLm5/ozAFOAy+5hi/PCyGCx9uogZBSngR+AdQBjYBFSvnh+Fo1LKZLKRtBe6ABMUMV8IUTGFZ48URDCBECvAN8V0p5brztGQghxBeBZill4ZAHTwz0QCbwrJRyKdDJMLqr44FrLH0DMBuIA4KFEF8fX6u8gy+cwKQLLxbaxnPvAK9LKf883vYMwkrgeiFEDdowa50Q4rXxNWlQTgAnpJS9Pau30ZzCRORKoFpKeVpquu1/BlaMs03D4ZQQIhbA9bt5qAK+cAKTKrxYaALzLwCHpZQTWrRPSvmwlDJeSjkL7bxuk1JO2KeVlLIJqBdC9Ga6rQcmqv5EHXCZEMLkuifWM0EnMS/gr8Adrr/vAN4bqoDX5cVGGV5sU4jIAAAAiElEQVQ8nqwEbgMOCSGKXO89IqV8fxxt+jzxbeB11wPhOHDXONszIFLKPUKIt4EDaCtGB5lg4cNCiDeAtUC0EOIE8BjwFPCWEOJuNEc2pPikP2zYj58pjj9i0I+fKY7fCfjxM8XxOwE/fqY4fifgx88Ux+8E/PiZ4vidgB8/Uxy/E/DjZ4rz/wHm99qnyzIdLgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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j9iktfQBwEBnZV1mEhV1Bbe0a6ureQaPxYm+7F3fu6cIm1/HqoV+xOg2X4uyLBknSIUme6HRBaDQ+aLVGtNoAdLpgdLpQzvS28kbZc9hkBQ+tgf+bdQ8AxcVqNHlCwl+H+UkMnYzoDNJ+9B07dsxAo/HD4WgjO3spaWmf99vPH4yDB38JyERH901nWFh4AzU1LyOEnrS0zwkIOJUfj8B7GA+MeyUgyzJ1dW9QU/MSbW07ACvb68Eqq17bDgWeOgjx3nvo6loCQHd3KevX69FofNHro/DxmUNQ0I9ITn6b+vp3OXDg5xQWXkVT08fkNLWyu7mNS91gYR4O6pPtW/6T+zAxjs8xNN0H8WcetU919YsIoSUu7uE+x43GTECitXU9dnsL2S2WPrOMUnEq506/CA+PaDw8YvD0jEWr9RnoEv1IBJ43rWdzdQHXrlSt/3Z7G+3t29HrI/Dzm39C7/9E8fZOIiDgNFpaviYs7Frq6l5lz54fkpz8L0JDLzhqX1m2U1f3NpJkIDr6HtexnJwVtLVtQasNYN68XRgMcaPxVsaMcakE7PYOqqr+Tm3tG5jN+zkyy3S6UZ0BOJyHFQXy2n1IMXbRM31VFBt2ezN2ezNdXXnU17/eawQ1nHn9oX87t7TGh09BRnQGGdGfsWPHbDo7cykvX01MzMDFcGpqXsfhaCMo6Cf9DIaSJKHR+GGz1QCQbhToJAW7okGv0XPenIeJjDzx95li1DJVK1yfVXHxfYBCVNQvjt5xhJg58y22bImgsXEtyckfs3fvT9i79yLs9ueJjLxx0H6lpQ+hKFYiIn6OJElYrc3s3JmG1VqFwTCDefN2TTjHnxNh3FjILJZyCgt/zsaNQWza5EtJyW8wm/fRowCE0OPtnUZ09N1cfdp+7pwRiEaob0Cv0XHVii/x8IgBJJYvd7BkSROpqf9jypQ78PNbgl4fiRAG1B7qmDkmRm1L63iYPfsbhNBRXPzrQbc3S0vVDOGJiX/vc9xiqWb79mQcDjW7t04XSYoRnpzrw8MrH3aLopPlbnqXA6irexMhtERH3zWscU8UvT6UkJCLcTja6OjYxpw56xFCy4EDN1FW9tig/aqqngY0xMc/Tnv7HrZujcFqrSIo6BwWLCj4XigAGIOZQG6ziV1NJi4NzmKGj51Dh+6iszPbaYTqjQYvr+kEBp5JRMT1eHvP7HP2shmLiPH4nBwT/GDauSyKWsSGQxV4eEQhSRJ6fSDBwWcQHNw/bXx7+252784k3dju3NJiXIV56vXBTJ/+HIWF15Obu4pFi4r6nG9v3013dyk+PnPw9JziOl5Z+RSHDt2FotgxGBIxm4uQ5S5AYWnMacya5Z44dlm2IIT6/Kiv/zcORxuBgWePqcdcUtLLNDaupaLicaZOfYC5c3eye/ciSkp+jd3eRELCX/q0r65+GYejjeDgc2lu/py9ey8GHMTE3Ed8/J/H5k2MEaP6rXVaO7l5y35sMrxUuOQIA5VArw8nOPgCIiNvxMfn6MV5jcZTSDF+TooRQv21mEybAAd+fouP2q+s7FFKSn4DKMwPT2Q1RdQZruPMmdeNK6tvRMR11NauwWTaRHHxb/rcmD3bggkJaoFfq7WR3Nwf0NmZgxBaEhP/QUTETWzYoMPhaANgypTb3CabonTTc+uUlj4EwLRpY7tvrtV6ERV1G5WVT3DgwM+ZMeNlFizIZ9eudCoqHsNubyEp6UVXe3UmJfDwmMbevRcAEjNnvtlnl+X7wqguB9qt7X22l3LbdAQG/oh583LJzJRZsqSa6dOfPqYCAAgKOuzPbbM1UVenrvlDQwcOepRlK9nZyykpuQ8h9KSmfoIQOlKM8OBpL44rBdDDrFmfI0kGyssfpbNTrVVqtTbS1paFXh9BQEAm1dUvk5UVSWdnDt7es8jIqCIq6mdIkoSHRxQFJpm3ymF/h8FtcsmyFSE0dHfX0tWVh6dnPF5eiW4b/0SJj38cSfKmtnYNVmszXl4JLFxYhFYbQE3NS+TnqxHvzc1fYbVWo9UGUlX1OJJkYO7cbd9LBQCjrAR89b6uCC29Rss1metJS/sYX9+04x5LVRTqutRub8VkWg+IPsqhh/b2PWzZEobJtBGDYRoZGeUEB5+DxVKGVus/Lp2HALRaH2bOfAtQyM09DVmWOXjwDlQj3K/YvTuDAwduQFFk4uMfY8GCPej1ociynebmr8hrtXHnHjW91arXV7ktqlJRbEiSjkOHVBtATMyv3TLucJEkibi4PwIO/rX5Rzyy8RF215ewaFExOl04jY1ref27Bfz2f5dSYAK7vQmdLpxFi4pHfVdjPDGqywFvvTdfX/kNr61fyYJg/2E/fXW6IGy2RhwOExZLKXp9eL91aXn5aoqL7wFkwsOvY8aMlwE11kCWO/HymjcsGUaakJBzCQw8i+bmzzhw4Gc0NLyHEHpKSh4ArHh6JhIX9yfa2rawa9dCzOYiZ9or2NHQ3/DpjhmPotgBLxobP0CSPAkPv37YY7qL6Ohf8Un2XdyRuwWbvAWdJPHC0tmkBaSQVdnCHTk7Xd6O/1icxNXL9wzojv19YtQtOctiM/GYmU5nZw5mcxkGQ+yxOw2Cp2cCNlsjVmsjimLvYw+QZSt79pxBa+s6hNCTkvIewcGH3T2am9U4cT+/oXuXjRWpqR+yeXMI3xS+SI5J3SJNMYIkGbBYDrJv32E3VknyxssrBT+/BfzYP4G3Kv6E1WFzq+FTURwIYUeWzYSE/HTczaRyWiVsssOV5WhTZTaxEmS39PV2rPO8akIrgKyKLLekLRsTc+6UKbdTWHgVpaW/Y+bM1054HF/fhbS3b3Nth4WEqGu+jo58cnJWYLc34+kZz5w5m/HwCO/TV3UvhqCgc074+qOFJOlp8LiCO/c828tnH2YFgMGQhK/vPIKCziQo6Md9nH5mAN8ErRqB/HYOHI4OYHQ9BIdKur8zkEkR6DWeXJ35BQvCU6jT38QbZWtdn2Gqb9dYi3rCZFVkser1VVgdVvQa/bC2fsdECYSFXc6BAzfQ2Di8/KSBgT+kuvrvzukphIScT2XlU851s0xY2FUkJb0y4JOqvX07AAEBQ3MvHUuKim7n8/3P9vL6k2jx/y3Ll//hmH1VByT3Gj17Pm8vrxQ8PSPdOrY7SPazszoNGn3v5PTE88iIzqC7u5Yw679ZnQbFcgbx0jZ8Wx+hq+tqvLwSxlrk42Zd6TqsDisOxTHspd6YzOMkScJoPAWHw4TJdOLGqsDA01z/1+lCycs7m4MHf4UQGpKT32fmzDWDTlUtllI0Gr9xnQ3Gam1m+/ZkqqqeZE6AJzpJOI2qHqw6hkvxSFJgUvPpN3heOmYyHB2ZFCM8kPkX1w8jN/d0QCHFqOXxH2/ivIUvAg6ys5cgy/YxlfZEyJyaiV6jRyM0w17qjdliLjb2fuDwPvOJIEl61w2Z29RES8vXeHjEsmhR6VH9xmXZisPRjqdn/Alfe6RpbPyMrKwourr24eu7kBvPbOL5JbO5Ng6+vPyzMdvS/GrfW64dhws+fpDN5RvHRI7B6J1ApecBUFn5DF1deQCEh1+OJElERFxHcPB52Gz15Of/35jIOhzUWJNv3OIFOmaPwYCATDQaX1pb1yHL8gkZl77a94LL918nOXgl8wdcsuh/xxyrxx7g57fghGQfaXoi2EAwdepDTJ36OwAWhM9gqiaH2YGBYybbutIve+042FizbgW6GSmEh19JZOQtY+5qazb3LbtmtTZz6NAdrtcJCYedmpKT32fbtliamz+nsvLvbnWoGg3ctdQbU7NuYOA5KEo3DQ3vD6m9LNuprn6Z3buXsn69gfd23NzH2ptVc9DpJnt0mpo+d15/7KbUA9HdXcvWrQnO7LVG5s7d7lIAAJ6e0QB0de0bKxE5J/Vml6+HTpJYEBxIV1c+xcX3sGmTD1u3TqO4+DdYrc1jIl9T06fO/6m3dl7eD10u6UbjcnQ6f1dbSZKYMycLIXQcPPgrOjryR1vcccGYKoG4OHUpUFHx+KBturtrOXToHrZtm86GDXoOHLiBtrYtSJIHy6OXoNfoXWm2Z3iUsGlTACUlR19itLdvA8aXEqivX8vWrbFYLMUYjctZsqS2nwOLp6dqwLJYDo6FiID69PnvRWu4Ng7+sTiRG89qZMmSBqKj78XTMw6LpZjy8kfYsiWILVumcODAzzGbj7s83gnT3PwFAEJ4UFPzKu3tOxDCA1BzMB6Jp+cUZs58E5DJyVmOLFtHTdbxwpBKk7uL+fPnKzt37uxzbPPmCGy2epYvN7v2bE2mzVRWPkVLy7fY7U2uth4eMQQFncOUKXe4LLpZFVm8vuEsUn1a+yTK0OlCmDHjNTUd9xFs3OgPODjllHb3v8njRJZl9u+/gvr6twGJ+PjHBg0fbmn5ltzcVUREXE9S0kujK+gRbNkyBau1mmXLWtFq/VzH7fYuqqqeoa7udeeMRV2ja7VBBAaeQXT0r0/IQ/T45KpCq43A4Wh2ZUfy9Ixn8eJDg/bbt+9q6upew2hczpw560dMvpFGCLFLUZTjcn8cc9N4WNilfFHwBB9+MJc5/hLx+iJXVVchdPj4zCMs7HIiIm4ccL2ZEZ1B5LJfU1JyH0FB59LU9Algx2ZrIC/vLHx85pGa+oErnZgs23E4THh5HTs+YaSxWMrJzl5Gd3cFWm0Q6enrj5ojz8srGYDu7qrREnFQoqJupaTkPoqLf8v06YefsFqtF7Gx9xAbew+ybKe2dg01NS/S0ZFDff3b1Ne/jUbji7//CqZMuZOAgEy3Ob0A2GyNAMhyO4rS7Yqm7J2DcSCSkl7BZNqEybSBsrJHiI0ducrB440xnwlsKP6C09/6ocuB44nZepbGnsaUKbcO+BQfCFm2smGDAZ0uiPT0jezePR+HowNJ8nbl6g8Lu5KkpJdpafmGvLwfEh5+NTNmvDoC7/LYZFVk8UneE0yxf0iyn4PAwB+SmvrJkLYr160T+PjMZf78XaMg6eDIsp2NGw1oND4sW9YyhPYyjY0fUl39LG1tW5FlMwB72/XckWN1JvH05Jsrvx2WIli37nCeAw+PqXR3V6DR+HDKKa3H7Gu1NpKVNQVFsTJnzjaMxvFpOD4aE3ImsKlyVx/jXnarlRTj18hyB4pi7ePqOxiSpMfPb6Hz5upm0aIyV4YYvX4KdnsrdXWv0dDwPsW2JDZXwU8C4pkx8m+vHxuK13H6WytdSu+9s+8hM+0vx+7oRAgtNlvTsRuOMJKkxd9/FS0tX9DU9AVBQf3zNvRtLxEaej6hoecD0NKygcrK1eSUf94ndfgr3y3BNtUbvT4UT8+peHml4ue3EH//zD65EwbCbu/o8zogYBW1tf8kMvJnQ3pPen0wKSkfkJ9/Nnv2rCIjo3bMdztGgzF3+l4ZtxIPrQGN0OCh9SRz6g/QaLwwmTaQn/8T1q/3JCfnVBobB68JBxATo2a4LS39LXp9IIsXl+LjMw+rtRJJ8iI8/FryWrq4eUs2r5TAhf/986jXKqys/AdvbDq1T76/gk7/Y/brjSQZXDkCxpr4eDVrT0nJb4+7b0DAcsLDr2a20d6nhmK6EWS5E4ullNbW76iu/jv791/B1q3RrFsnsXGjkW3bppObewaHDt1Nff1arFZ1CfDV/hd4q1x1ZvL3P52GhvedORiH7osSHHwWkZG34XC089o3c3hk4yMnbU3LHsZ8JtDj9HDkmrC9fQ/l5X+kufkLWlu/o7X1OyTJE6NxGdHR9/TLJhscfBaS5E1z89dOvwMt8+fvpKDgIhoa3qe29rUB04mNhtONyZTF3r0X091d4cz3p8qhFQrh3a9jtd6AXh88pLE0Gt9xMRMA8PVNQ6+PoqNjN3Z7Wx8D4bGoqXmNwsJrSDEKVqcp5JjgJ7P/jE/rwyiKmZ4UcAZDMn5+i7DZajCbi7Fa6zCbD2E2F9HS8qVrvAKT4M49imuG9TfNFmb6dCBJXmzbNt05noKi9DgTyRxeCsuu6ymKjKLYKDDBnXsOYJN/g4fWMOb5J0eSMVcCMLDTg69vGikp7wFq0cvy8kdoafmKlpavaWn5GkkyYDQuJybmXgICMgE1GKih4V80NPzLlUPez28xDQ0fAnbSjfT6ATLi6XI9pRUAACAASURBVMSs1noKCi7AZFK96ozG5dyw5H3mzj3EVwc/JMr6HnHa/WRlRTB16p+Ijb3nmGNqtYFYrTUjKvfxMJiB8Gio+fx/gRBaUlM/hbwzSDFKZM6+D7iP8vK/OcO/7ZjNezGb92IwTCch4THX8tBiqcZkWk9z8/9oavovOabmPsvK3c0dzPRR7UVWa7XzyqLXX4EQh4+pP34rR8s/ebIqgTE3DB4vJtM2p0L42mn0A0nywt8/k7Cwq1i79WL2dkXwo1l342t6zFnBV4O//0paW7+mwAS5Jg2zjTI3n9OFRuPphnfWl83lG1m781dM02STYlTw8IglOfmdAevWqXkB70ZRbBgM05g167OjZunJyTmV1tbvWLasc1ysV4/XQFha+kdKSx9ACD1z5mxGURxkZy8GtGRmHs4zKct2iopupabmRXpnm9Zqg4iOvh29Pp7y8t9jNqv5F/d3+vCr3R19oiwXRc1h/vzdA8rhcFioqXmJqqrnBsxoXWCSuCtPi012DDtKbzQ5EcPghFMCvWlt3UR5+aO0tn6HLHc5p3D0uREWT1lAUtJr+PjMZOvWBCyWYkBdN5aykvPm/smtX+7m8s2sem1ZL8PfXfzf3MGdoQBstlby8s6mrW0LIIiKuo2EhL8N6P68d+/l1Ne/xdy5O8ZNNpzc3DNoafmSWbP+d1QD4cGDd1JZ+QSSZGDevF14e8+kuvpFDhy4CSE8WLHC0q+P1drI3r2X0Nr6zYBjGgyJxMU9Qmjo+fzjEz+yW9pd+RZmz/7ONUsE1fGssnI19fVr6e4uPWKknlmCgq/vfGbP/oYdNQUjEIY9skzI3YHh4O+/DH///wLQ0rKOD7++EZtc5JoS5pggxbiDnTuT+/Q7rCy+49l899Yb2FC2oZfhT0NBZyDHCk/R6fyZO3cz9fXvsX//NVRVPU19/bukpn7cr6RWj79DV9f+caME4uMfZ9euLykp+e2gSmD//uuprf0nGo0v8+fnuZLJ9OROFEIzYD+9Pphp056isPA6l6dnb8zmg1RV/R0vryRSjTLJvj391ByM7e27qahYTXPzl9jtjf36Gwyz0Wo9nKHlEnFxj7qWZSMRhj0emdBKoDcBAZmcP+9vvLD/HNdT+MyZNxPh56C7uxKzuRizuRAhtOSaZGyy7Fzvdbt1vZc5NdNld9BpNMdldwgNvYjg4J9QUHARTU0fkZ29mJCQC5k5822XD4HBoHpKms1j5zp8JMcyEObnX0hj41q02kAWLtyHXh/qOtfjAi2Ert+4NTWvU1b2kGv2ptUG4u+fSUvLOhyOZkAgSQZMpvXs3DkLUBV8jgkWhWqxb/BxLRl7o9NNISrqJgICziAv70zMZjXXYHr6Ory9k9z1sUwYhrVFKIS4XQhRIITIF0K8I4Rw/wL7OAjofJHVaXBjYiCr02DV9CtJSnqRtLTP8PdXC5TOnPkWGZFJrm0prVDcaiDMiM7gxWUZXBsHz2fMOW7lIkl6Zs36D7Nnr0erDaKh4X02bw5wJWAxGNSbtLt79Pzxh0JU1C2AQnHx/X2O5+aeQWPjWvT6CBYvLumjAAAslkrgsBKw2zs4cOAWNm70pbDwKiyWYry8UklN/YRly5pITf03S5fWER5+EyA5A8ZUQ98n1fDLXPhnCdy6o4K8lsMKQAgvQkJ+yqJFxSxdWoEsd5OdvQi7vYnQ0EvJyKj6XioAGMZMQAgRBfwCSFYUxSyEeA+4BFjjJtmOC5utlaam/zI7KIDLVnxETs4pFBffx5w56wBoafkGEDgcXcRp9/HMghh2NbeT6t1CenD4Ucc+Xs6a9QAx4iy02uITHiMgYDlLltRTVPRzampeJD//JxiNK0hKWgOMD9fh3kRH301p6e+or3+D6dOfRpZlsrOX0N6+DU/POBYs2DugETa7oZIdjTAvqBvv7EznToqMEFp8fBbg6zuH7u4qiovvo7DwGux20wCFahQKTGpNyp7SdOpyULB4ykJiY+8nOFhNI2e1NrJ9eypdXQVIkoHk5Pdc576vDHc5oAUMQggb4AVUH6P9iHHgwI2ATGzs/fj7L0OrDcJk2uSMCtM6sxFPoajoZ4DEZSs28H/t29i792KKin5OWtrnbpMlMFBdF9vtwwunlSSJpKTniYq6jby8szGZ1rNjRxIFJthbk8flgWNbRLU3qgfhqbS0fElj46cUF99LV1c+Xl7JzJ+f28clWpZlursr+KbwLX6xqxGbDG+UtbPavt4VBKYodjo6dtDRsWNI188xgdzLxi0JwVUrvmVebKbrWH39e+zbdwWKYsXHZx7p6d8el2/DycoJKwFFUaqEEH8FygEz8KWiKF8e2U4IcSNwI0BMTMyJXu6o2O0dNDR8gEbjS1TUrwCIiLiGioq/Ulb2Z3x95+LcQUaWLURH34vBEIvBEMuBAz9zGo06hlyZ91ioVn0BOE44YUpvfHxSyMgopbT0D3ya+5DTqFnLq8VjX0S1N/Hxj/P6t1/y1mfnkG6E9OBwPD2nk529FKu1HoejFYej0/Uk/6i8b/Zf1ZDbe0QJtVy6J0JIyLLZuZffnzkBevRlVle5+ruTI1jmVACybKeg4AKamj5CNf49QmzsvSP4SUwsTvjuFEIEAD8G4oBIwFsIcfmR7RRFeVFRlPmKoswPCQk5cUmPQlHRrYCD6Oh7XD+42Fi1zFR19QvU1qrViazWWvT6KBISHnH1nTLldkDuk33GHWg06hNmODkUj2Tq1N/RbPz1uCyi2t1dy0e7f+lKPXbnHshprKW5+T+0t2/Haq1EURzo9eH4+MwlKOgcTpt2QR+X4cuWfsDy5d1kZipkZiosWJBPUNBZKIoFh8N0hALQ4uMzj2nTnmTZsk4WRqSyOg2ui4OnZsMPQ9WAIbXwTDhNTR+h04WzYMHeCasAsiqyRsSNeTjLgdOAEkVRGgCEEB8AS4A33SHYUHE4LNTXv4UkeRET8xvXca3WB1/fBbS3b6e1dZ3zqGDWrL4xCDExv6Gs7I/U1r5BYuLzbsuh7+WVTHt7FtXVzxAQsNQtYwKclvAjHtn8pCvV9FgXUW1p+ZZDh+6mo2M364/yZJckT7y9UwgKOofw8Ovw8AhnFmCzLmN9+WYWhISSmXAudnsbBw7cQn392/2yREmSHwEBpxIV9fM+buOybKejI5f04DCWxy9iQ/HHvFHaRb3HtQSb1wAKISE/ZebMN8ddjYSh4s4U40cyHCVQDiwWQnihLgdWAe7zBBoiBw/ejqLYiY6+u98XHBf3R97ZeDo5pibSjbAq6dp+CS0kSSIs7FJqa1+louIxtz0lQkN/Snt7FibTBreM18NgsRajiSzLVFT8hcrKJ7HZ6p1HJdKNMjqNhF0W6DV6rlj2PrGaApqaPqazcw9tbVtpa9tKScn9aDQ+eHunkhYYgskEOxoasX/iRbKvuc+1NJoQQkJ+TFjYZWi1/shyN7JspqnpC+cMweLMJuTAYJjGAXOwy2HsjbJXeSJdz0UZ/57wxj93phg/kmF5DAohHgIuBuxANnC9opasHRB3ewyqLqvegMQpp7T3i8fPqshi5ZolLr+Bb67axNKY/k9lu72NTZsC0GoDWLasv0PJiWC11rNlSxhCaFmx4khr9sSku7uWgwd/RWPjh86pucDPL4POzn04HC2EhFxIm9/tgyooq7Wempo1LqXgcLQP6OXZ1y5wfLxVri5HZNRlxh8yf8dvV5x4RuvxwlBnAqPuMagoyu+B3w9njOFQXHwPimIlKuoX/RSAxVLNW1su7DM9/U/O71ga09/9VKv1IyBgFS0tX1Ffv/ao6cqHSs9+uKLY3WIcHAt6Mv7MDfQhyPwqHR3ZAM7Q7GuIifkNu3cvcCqAS0hJeQdg0CeUXh/qyjoEqlL47IsrsclfuL6jfZYpZETHIkk6hNAhhBYh9K6/kqR3ntM7/+morPwrkmRg6tQHWWJ/nTfK8l1KJTPutAFlmWiM5AxwwnoMyrJMdfVzCKEnIeHxPseLim6hpuZFZnrKh733JJiqfEtWVgypqf/ttyxITHyO7dunUVx8r1uUAKix/7JsxmTaREDAcreMOVpsLN3ID95Y3ucJPTc0ltjY+wkPvxaHo43t2xOx2RoJDb2M5OTjNwXp9aGcm/57ntmzjm57NzoJTo3/MXPnPjPkMWpqXgUUwsIuJTLyJuKK72F1GhRak0nS7yWo6zXglOOWbTwyUm7ME+/x5KS09PfIsoXw8MNFJevq3mHzZn9qap5Hkgyct/Blnp4fxnVxEl9d8TVLY1fR3V3Brl3p7Nt3VZ/KM15eCXh7z8JiOUR7+8CRZ8eLp2ecU65RtZW6hQ933923eKfhBjIySomMvB67vZVt26ZhszUSFnblCSmAHtQn3Hfcmjyd1WkQ2PksTU1fDLl/dfU/AIiJuZ/t29VcUYui0nny/FxmBXhTW/sqFsuYua9MCCakEpBlmcrKvyGEloSEJ+nqKmL79hT27bsUh6ODsLCrWLaslYiI65jp08UVcb6cMnUV6elfM2vWZ2g0ftTVvc7mzcGuGgQA06Y9CUBR0S1ukTMw8IcAtLR85ZbxRouWlg0kaLb12b4Lt7xCaekf2VD8Obe9N4XcpibCw68eVkHZHjKiM3jivFxS/VVlnpd3Nl1dRcfsJ8sy7e3Z6HQhtLZucOZZEKSn70CStCQmPgXI7N3rnpndeGAktgknpBKoqPgLstxJSMiFFBZex/btSXR17cXbezaLFpU4axCqKx2Howud7nDFnqCgM1m6tJGwsKtwONrIyzuLnJxV2O0dBAScil4fRVvbNrq7a4ctZ1CQmgDjcFKL8Y/FUs2ePaeTYhT866zbuTYOnp4XQopR4tPcBzj9rbN4+ZCZu/I0tHjf6LbrajSeJCb2JCVxsGvXgn45A4+kru4NwEFQ0P9RWHg1APHxq9Fq1e8+IuI6PD3jaGvLoqXFvbs0Y0GPcfCB7x5g1eur3KYIJpwSyKrI4s8bHqLABPX1H9DQ8C5arZGUlA9YsCDHFaIKOF2GVQeV3kiSlpkz1zBvXg4eHtG0tn7L5s3BVFW9wNSpDwKKW2YDRuMSCkzwZpmVzeWbhz3eSCPLdnbvno+idBMX9yg/nvcE10yLYrpXI8HBF/TJtmOTcbujUmTkjRgMakIVh8PErl1z+9QWPJKepUBHRx4go9UGEhNze582yclqdqp9+8Zr8dShM9A2oTuYUEogqyKLU187hZeLu7lzDxSYbEyZcjtLljQREnJuv/adnWpZKQ+P2H7nQA2BzcgoJzb29yiKnaKim6msfBKNxoempo9xOPonuRgKqm98LV/tf8HlQfeDN9ynuUeK3NxTsVprCA4+12XBDw6+AFBoaHiHOQEGdBJoYMQclVJTP0J1udZgNheRnz/w/r4sy3R07EYIfzo61DLz8+cX9Gvn5zcff/9VWK1VVFQ86XZ5RxN3ViLuzYTaHVA1ocP1JGox3su0aX8atH3PllbP02Uw4uIeJDLyZvLyznL1KTDBJ5+cxvnzHicjOgO7vY3OzkIslgOYzSV0d5fT3V2NzdaA3d6M3W7C4ehElrsBBwBryydOnrqDB+/AZNqIwZBIcvJaHA4LBQUX0Nx8uLbfjWc2I0mh7G42c03myMQseHvPJDT0p9TXv40k+dDc/DmHDv2ahIS+adnr699GUeyAumQIDr4QT8+Bo0GTk99jy5ZQSkruIyrq5y5D8kRjsG3C3sVbToQJpQRUTajD6rChk2CK/SNk+aFBi3Z0du4FwMfn2NWGPDzCmT9/NzU1r/HB9uu4c48Dm7yZZ/KWDMGBRYMk6dFovNHrw9HpAtHpQjhVq+GNsk+xyYrb8xa4k7q6d6is/BsajS/z5u2koeEdCgtvQJbN6HTh+PoupLn5Y6qrn2VhRCozvLOYHz5zxOSZMeNVGhs/Qpa7EMKLiorH8PaeRXj44dCUqqqebUQ7QuhITX1v0PH0+kCiom6jqupJ9u+/dli7GWPNkduERzoRocf7eMecUMuBjOgMvr1qPX/IfJBnF8YyVVvA1q2xWK31A7Y3m9Xacz4+84Y0fmvrJiornyDH5OjnAz8wGiTJFw+PSLy8kvHzW0JQ0DmEhV1DdPS9XLj4Lb66/H+cHQGnhx3/+x0NOjoK2LfvCkBDaurH5OScyr59lyPL3URH30VGRpVzB0BQUfFXjEZ1z72hYe2IySRJehIT/4FaQzAa0LB//1W0tanepuquwOFUY6mpnxxzzISE1Wg0ftTXv43FUj5Cko8+R9oJ8MD3eMeYUDMBOKwJZfkBCgrOp6npP2zdGsecORudIcOH6e6uAA7v1w9Gff17HDp0jytbz6LQKN6saMDmUDPNXrn8U9ICPOnszKOrqxCLpYTu7kqs1nrs9las1lq6uyvo6OhfGqzABF/Wqcrk69dPHXaZLXdit3eQnb0EcBAcfCF79vwARbHj5TWTWbM+dxlZJckfo3EpJtMmPDymAtDc/D8iI68fMdkiIq6kouIvdHXtJSrqDqqqniAnZzmLF5c6E8SoGAzTj1n9CNQYkenT/8G+fZeTn38e8+ePepjLiNBjJ+iZCZi7zcddZXdCZxsGKC7+HeXlDwMSM2e+6ao3AJCVFY3VWseKFf1j0GVZpqrqacrL/+QqYunjM4/ExOcwGhccd5FM1RhYRkdHDl1dezGbD2KxlPPivjxeONCADGiExMMr/8h9p4x9sUtZltmxIxmzuRCNxheHo93pfbmaKVNu7de+vX03u3bNw9t7Dp2duXh6xrJ48YlnThoKXV2H2L49EY3Gh6io2ykv/wN6fQTgjdWq5iZctqwbrXboa/xt26ZjNheRlvZlvwI2E5Xe9+qSmCXfr2zDAPHxf8DHJ429ey9h375L6ezMIz7+zwDY7a1oNH0ThciylZKS31JV9ZyrWGlAwA+YPv0FDIbDM4bjddGUJAmDIc45xuGdiiuCslhTvGrchP72sHfvRZjNhQA4HO0YjSuYNevjQTPt+PrOxcMjls7ObLTa4FFJb+bllUB4+NXU1r6K1VpFcPB5NDZ+4EomekbStcelAACSk9eya9ds9u27gqVLh+8LMh4YrjvxhJ8J9NDevofs7CXIcieBgWeTmvoxGzboMBjiWbSoCJutlaKiX9DQ8C6KYkMILcHBF5KY+Ax6feCxLzAM3Fl62x2s+XoOm6tzSDfCrAAfkpPfIjj4WInRoabmnxQWXo9OF4rNVs/ixWWuFOgjhSzb2bw5EIejgwULiljz9bQ+UYdPpHsyO9AfnS4QvT4MvX4KBkM8Xl6JeHnNwtt7Rr/dgD17zqS5+X80e99MoSVm3Hwv7uB7V3zkSKzWZnbtmk13dyWenonsqitin2UKC0OjiBE7ABlJ8iIy8ibi4x+dsFtFw+Hr/a9zzvtXuX5Eb/zgGs6d/8yQqxlt2OCDLFsAB/HxfyUm5s6RFRioq/sX+/ZdwkHLFF44UMmuFrVekARcH2/gsljFuTU72L0sEMIDSTKg0XgjSQZ21RVx5x61KKxe4zmu0rQNhxNRAhNqd+BY6PWBLFpUgtG4zPUlP7e/khs3bWN/pzfx8Y+xbFk706Y98b1UAADb6yv77Hx8eeBVNm3yYceO2dTUvHpUDz2A8PCr6PGDGK2YiLCwizlkncatOw4rAIGqxNL8rGi1weh0IWg0RtSs91oOVxQCtRCpBYejBau1EoulyOX96FCUcZWmbSyY8DaBI5EkLXPmbOS5PD022easBCTR4ncfMTF3j7V4Y87KuJV4bDS4bBRnJF2A3vEtnZ17KCy8lgMHbsJoXEZs7P0EBJzar398/F+orn4ekOnszBs1ufebp2KTD7pmAHMD4OpYSDE6sForEcKAJOnRan2RJA8kybPXk98bjcYXjcYXrdZIc/PXpBv3u8LM9RrduLHVjAUnnRIAaG/PYbZRdSiyK+51sZzoDOZ1ZjaXUVr6e5qaPnKVgtdofAgMPJupUx9yFebQan3w98+ktfXbUa2OvCAkoE9uiKtjIS3QD4ejDQCNxoP58/Pw9Jxy1HHKyx/HYtlPihFeXXkO3xb/l4yImAmzFBgJ+9JJZRPooafwaHfI0+xu7jipDD+jgcm0jbKyh2hp+ZaebHE6XRihoT8lNvYBrNZqV9mvefNy+yVoGQk2bw4lp7GB/M5gUr0bB/TglCQv5s3bibf3wN6MjY0fkZ//E0CNJ8nIKGXbtpmYzfuZNeszgoLOHMm3MGyGkmLse28TAKiqegGLpRg/vwzOSLmN+065b1IBHCdG4yLS0j5jxQoLycnv4+u7AJutgaqqJ9myJYiCgvOQJC8KTPDg1zePeGCU1VqPzdZAihH+eMabXLr8O/pPYgWy3MXOnekDpnlvb88hP/981+vU1P8AkJLyPgD79189QtK7j8kowiEgy1YOHbodkEhJ+WCsxTkpCA29gHnztrN8uZn4+L9iMCRiNheR19LFnXvgyT1Zbo1tH4iyskcBEEJPUNAZBARkMmfOBlf9QiEM9OwMKIqV7OxlNDYeTi3f3V3r8owECAw8C1/fdECNKwkMPAubrZ6yssGD0cYDIxVFeFIpgf37r0eWzURG/hwPD/fWF/y+I0l6YmLuZNGiAyxZ0sTervBRK4JSV6dmLwoOvtB1zGjMYO7crQihR1HMCOHRq4dMfv7Z1NS8jsNhYefO2ciyGZAQQkdy8r/6jJ+c/A5CaCktffiEw8dHgx57zsMrH3brluZJowTM5hLq699Eo/Fj2rSnxlqckxq7vYVkr1o1t4Cbn0pHYrU2u2o6JiQ81uecr+9c5s3bjRCeHM50r6Hntv5g+1Xc/JYPOY31TndjtVblkeXmtFo/pky5A0XpHvfLgozoDLcvcU8aJaAafBSSkl6akOm9JxJ5eWeSYoR///hhtz+VjqS09EEANJoAPD0j+5338UlhwYI9SJLBeUQtQlLYGehM6OLgzj2Q3VCDThfK1Km/G/A6cXGPoNX609DwHmZzyYi8l/HKSfFrqa//N52de/DySiU09KKxFuekprx8NWZzEX5+izk77f4RN7zW1a0BICbmnkHbeHklsmDBPiRJLX1uNh9gZ1Nzv3BwrTaIrq5DA44hSRKJic8DCgUFJ09i0qEw4ZWALMscOHA9IEhNnTQGjiRWazMlJfchhJbU1E+P3WGY2GytOBxqZGx09F0DtnE4LBw6dB+7ds1zujOrpBtBJwlXtuQ5/lrM5n1s3z6N3NwfDJhINizsYgyGGXR07O6ThfpkZ8IrgUOH7sRubyUk5BK8vI6eRmyS4ZGffw6KYiMu7s8jHnQFcPCgWmbewyOuX/aotrad5OSsZONGbyoqHsVub8Xf/1RmzfoKSfIhxQi3JCjMDYBbEuDa08tITl6LThdOS8vXZGVFkp9/HjZba59xJ9KWobuY0ErAaq2nqurvSJKBmTPXjLU4JzX19Wtpa8vCYJg2au7X9fWqFT8p6UVAjSgsK3uELVsi2b17Aa2t69DpAomJ+Q2nnNJBevo3GI0LmT79BQpMEs8egt0t8OwhiV31BwkNPZ+lS2tISnoZrdafxsYP2bw5mH37rnbtCqhbhmc6twwfGVS2k4kJ7TZcUHA+PdFs39eAoNFAlq3OJ2P/0u4jhdXajKJYAAkPj2j27DmblpYvnclFwWBIxmhchsNhoqnpU2pqXsRub3Wd75seXWbNuhWQEIqf30JCQi5myZJaKiuforT0IerqXqO+/m0iI39GQsJqkpPfZfPmIEpLH2LKlNvRaDxH5T2PFRPWbbilZR25uStd7p+TjBz5+efR2PghkZG3Mn3634/dwQ0cznkgkWLsiWwUqJNXR7/2kmRApwvG03Mq3t6pFHYFcdGnj2Nz2NBJEs8siGKaZzWKcrhCtE4Xhq/vQoQQThuADUkyEB39a+z2dqqqVvcptDoRGPWqxGPJ3r1qGrGUlJFLeDkJmEybaWz8EJ0uZNT8L7Iqsrg5K8cZLCS7sj0LoUWrDcDDIxovryR8fRfg778cb+/0ftvC04Fvg87qF2zT1raT2tpXaWn5FovlEM3NPUlKhbOArIWysgcRQs070NDwL8zmR/sUtTnZGNdKIKsii+9KvmNl3Mo+21BlZX/CZqslIOAM/PyOS+lNchzIskx+/nkApKZ+OGr+F98c+sw1lbcrglrD1dy0bOiJT3oYKO2Wn9/8PveMybSDurrDSuGw+3EniqImin177XQuXfI+mQmHsy+Np2xRJ23dgayKLFasWYpdVtCug+czkpgflsSu+kq2VO8m3Shx07LBc81PMnwOHbodm62eoKAfYzQuHbXrJnkU9Yr19+SsmTcctwIYKkbjAozGBa7XJtM2amvX0NLyFbvqDjlTmVl5vfTHrE6TmB3kT2GXP7duL8MmK+g1HmOalcgddQfGrRJ4Pfd1bLKqlW0K/KekEHNXYa/8cjIJCf/kh6m3H2OkSU6Erq5Dzp0XL1JSRlfZRsrrWZ2mGvcuWvD0qP7AjMZFGI2LAPhu4yPY5N8io2CXIb/TyKwAC1tri7E6xkdlKXfUHZhQW4R57b59vMD+vfsOdu/OcEsF4UkOk1WRxV3/WUSBSWHGjFdHdeelq+sQNlst6cHhXBYDqf7i2J1GiMypmXhoPdX4CK2BK0/5lOXLO7k6cxMeWo8Rj5sYqoy9Iwvp5rjrDgxrJiCE8AdeBlJRF1PXKorilpjSK2dfySvZL2GTHWgFnBEG0Nknu8wcfz1tbVvJyooiKupWEhL+Nhk3MEw2FH/B6W+diU1W0EkSc+dGEzqK1y8t/T0AwcHnUlPzHF1dB0fx6n0ZLAvT0pilfHPld+PCJnCkjEvuX9J5vGMMa4tQCPEasFFRlJeFEHrAS1GU1sHaH+8WYVZFFu9uvZbp+v2uTDIFJsht0zM/OJDphloiI2+jtvZlZNmMVutPUtIrA1YonmRw7PYOyssfo7b2VV49WMkrJTiLpWh4eOXDo1osZeNGf2TZzJw5OzHQ6gAAIABJREFU29i9ew4hIReTkvLuqF3//9s7z8A4qutvP3e2qGvVi61uW7ItW8VFWG7YGEIPBEgI1QQISUgIJIa8f5IQSCCBkABJiFMIpjt0EgghNBsX2bIsd0u2ZVmymtXbqu1qy8z7YSVZwk1ld2cl7fPF1pQ7Z2dnz9xz77m/M95x6xShECIYWA7cBqAoigU4tdTPGMiNz+W8qfvZsiUQcMzvphsg3WAhLe3XlJTcQWPjayxe3MrRo3fQ2Pg6xcXXEBiYzZw5/3a5Jv54RpYt1NT8kbq6dZhMR+kfFXfk3DvEWd3d1TUaC7DbjYSEXEBg4GwALBbXFzmZ7IwlHEgBmoAXhRCZwG7gXkVRhnRHhBB3AXcBJCSM/EcpSXpmz36dQ4eGruwqKfk2BsNKjMYvKC9/gNmz15OU9AhFRVfT1bWXHTuSiIm5ndTUv52xavFkoX8KaXniUpI0h6itXUt3dzGO9z041uDbEULP1xY+y7x5c1Xp6lZW/hKAxMSf9Y1DSFgsDW67/mRl1OGAEGIBsANYoihKgRDij0CHoigPnemcsWQM7tiRwu6G4+wzOt5WjvBA9CnLWFm06PjAm7+hYT1Hj34Xu70LjSaQ1NS/ER1906iuO97ZVrWNC185H4vdjk5iIPHmSHcoBzp8SPevJ93AOcuQuYMtW/wQQsuyZZ19fweg0QSwZMnpq057ORV3C43WADWKovTXiH4HmHeW48eENfpvfSIRsOaAY2zAUVSiF5A5ePCKgWOjo29iyZI2YmPvxG7v5vDhm9m5czY9PaWuMs9j2VyxCYvdPmRdfbER7tvTxt+P1rPmAJginiA7e5OqDqCp6V/IspnQ0EsGtvUXSvXiWkbtBBRFqQeqhRBpfZtWAYecYtVpyKvZfYpIxGC6uw+yffsUioquo6rqKXp6SkhL+weLFlUQGJhNT89hdu5Mo7j4RmTZqUMXHs3K5AvQa7RohECv0XLh9K9RassYlJGnYV/b2asOuYPqaod0WFLSIwPbdLrQvvJiXlzJWIPle4D1fTMD5cC3xm7S6emfs+21mdFJkGUQfLn2nMVSR3PzuzQ3v0t5+f2AQKMJxscngeDgpXR17aap6XVaWv5Ne+A9FHeHqD7F42py43PZuHrLkBg/oTqf5454TqVkWbbR0VGIThdJYGD6wHa9PoaeniPYbD0uyxj0MkYnoCjKPsAtyfuO+dCNvLT5QjKDLdx1WRtHj36HxsY3ODnABcfMKRy1ziAjyMQMv3rM5hP09Awtl3WwzcSazU868g00Gr5YvXXCO4LBn+9M899q4ShrZici4toh2/X6eMDRy+vP4vPifMbVsHlufC5BWZfS3PwuHR35zJ69ntTUv1JSchdNTW9SbIQ1B8qxyuV9g2CCdMOpA5+D15rb7HZV0z7VYqw17Z1Jbe1fAEhKenjIdl/fJAB6eg55nYALGXfpdVOn/hCAEyfWAg656PT0N1iypO1LQhJQ3B1BcPASIiK+xpQpPyA5+Tf4+88dmAuXAL3WT/Xu8GTGZuuip+cIPj6Jp9SK6K9/2NNzVA3TJg3jqicAEBq6HCF8MBq3DNmu04WQZZDQSfJAWvFNS99hXsJyAMzmKnbvPq8vLz2KpzIa2d+h5VsrJkZd+vFKVdVvAYWYmNtO2efvn06xEf7d8hHX67/q/Z5cxLjrCQAEBmZhs7VhNlcNbGtt3UC6wSFAcXuyYz5c3+DoNTQ3f0BBwXSs1noiIq7FxyeRdAPcPXep98FSGUd1IUF8/FBJcbO5ls8OP8eaA/Bs0QGXlzqbzIy7ngBATMxqOjsLqK5+hhkzngGgqspRRy4jLJh5UaH09lbS3b2fHTtmYDYfAySmT/8TcXH3sGmTo4ZddPTNan0EL8Cmsg9YX1rNougkZrf+j+bm9+nsLMBsrkRRevlfFaeUOvM6beczLnsCsbF3AIKWlg8AhwKO0ZgHgK9vIjNmnJTBMpuPIYSOefMKiIu7h7a2jYBDjDIy8utfbtolbCr7Fz/96Fo2l3/oluuNB/Kr87nkn1fxwnH4/s4K3s6/jsbGVzGZStFqgwkJWcmls+46uZTXA6YyJyrjsicgSXp8fZMxm48jyxYaG98aEJD095+Nn99MHKKU/VJR1r6qOQuorv494Khk644MufzqfC59/XosdivP7PkPG1dv9r7NgH/t+9WQQdwyOYcbMn5DSMjKgeXgWcCGmNs8ZipzojIuewIA4eFfBRTq6tZRU/PMoD0aCgvT6XcAgYHzAA2HD9+M0VhIe/tmAAICZrnFTofyi63vYbe7tHrveKGm5o8kyh8PFDT10frx9QV/ICxs1Sl6EK4owOllKOPWCcTHO2TFamtfpKtr30Bp6qamfwKQlvYyen0sXV17mD79WUBm795lyHIPAAbDcrfYuSJpxUA5LG+XFk6c+CvHjt3HnBAf/nv9ay4vaOrl3IzLcADA1zcBrTaU7u49gDwQDmg0Icybt52AgFlIkqMH0NLyHklJv6Si4mGKjX3addGzcEfRstz4XNael8SO+nJuX7lxUj/sdXXrKC29u2+MZidBQRmsSlXbKi/j1gmA422+pfz9vuXFMukGQUrKEzQ3/5va2uewWpsQQk9b2+eYTJV9GYWOGHR99X1suHWuW36UswLNTE/0mdQOoL7+NUpK7kQILdnZ2wkKylDbJC99jDsnYDbX0tDwGm1tn7Ctcusg9WF4KkOB0u+e4bzSIRmF7pxysts70GhGrAQ9YWhsfIsjR25FCC1ZWVvGba2ITWUfsK1mNxekXDKhHLpHOwHH1N8mGhvfwmjMw2wuG1J+ep9ROmV5cb8WoUYTjJ/fDAICsmhoeIFio0KDGTQCBO6dcrLbTfj6ulOu03Nobn6fQ4e+CUhkZGzAYBifPx7HlObXsMoyv857kg23TpzQzq1OoL6rnvzq/DPePIullcbGN2ht/ZDOzr1YrQ0MXi6s1YYTFHQeYWEXEx19Ez7TTvBq5eKBnsCKpAuJiYrDaMzHbK6gq2s3XV27h4QBWknLt7Pv5NbMW93yJcqyDbCj108+J9Dc/FFfBSNBRsYnhIa6ZzDWFWyq2IRVlvt6kdYJlbjkVidwouMEy19aztrL1nLX/LswGgtpanqd9vZN9PQcRZZPyhMKocPXN4Xg4POIiLiGiIgrT9G/z41PYO1509lRf4wsA1w292eEhq6gsfFdDh++deC4wWGAXVFIMCS47Qs0mRxqRnr9VLdcz1Nobf2MoqIrAZgz5z+Eha1S2aKx4Zjl6a+KNLFmedweDthkG3f/9ztYa74z0HUH0GgMBAcvIiTkAqKjbx72PH5uXC7T9A5tej+/VAoL59HdvXfQERqWx+ewvnovFrvV7V9gd/fBPtuS3XZNtWlr28KBA5cCCnPm/IuIiMvUNmnMLIiZxVMZcNicyE2LX58wvQBQaUxAUYbG7+AYPOvs3EN39yHq619Cqw1Gqw1Dp4tEr4/Fx2cqPj4J+Pml4O+filYbgSRJhIQs5YvSV/u086YOtClJfsTE3ElKyhNotf5Mn65OAcn+ZbB+fu6YkFSX/Op8Pj7yClE9z5FuUJg9+w0iIq5S2yyn0Nr6P9IN8JXZX2PGBHIA4G4nIBzZSToJLp31XaYYBBZLPVZrE1ZrKzabEbu9C6u1BYulnsGKQadHw6EOMWSG4Jlsf67M+h1Tpnx3SPaZWiIajkq3jnTmiUxe5SYuevXCAVXjd678BVFR31DbLKfR3r4RgNDQi1S2xPm41QkkBwWxKrmTLANcNe8ZNBrfsx4vyzZ6e6sxmY5hMpXT21uFxVKLxdKA1dqEzdbO/uparLKtTzRTot3wc+Li7nbPBxoGZnM1AIGBE29e3GQ6TnX172lp+ZCXS6sGinTaZMHBTl+uOGcL44fOTkeIGRp6gcqWOB+3OoHQgCRuSnDEyDU1z5CYePbyVpKkxc8v+azxtDwln1erPEc088s4ejRCVTlvZyHLMq2tH1Nb+xeMxjzs9pOSzycrFwn0Gl+P+x7Gitl8HEnyP+eLazziVicghB4fnwR6e6uoq3v+nE5gOHiaaOaXsVpbBtY1uINPDq3jgwOP8PWFa1mefMWYC7TabF3U1v6VxsbX6e4uGkjPFsIXnS66bxoXzp92HRuyf8iWyjyP/B7Gis3Wjp/fNLXNcAluHxiMi/sRZWU/wmwux2brQqsNHHObniSa+WXs9k63ZQtuq9rGVe/eiVWGdaVX9VUb0iBJeiTJD40mCK02FL0+Ap0uum+wNR5f3xT8/Wfg65tMwYlCPi19mzSfchKl3fT21gy0r9NFEhKyirCwSykv/39YrfVoNEGkp/9rYApwScIyt3xWd9LVVQTI+Punn/PY8YjbncDUqT+krGwNIFNd/XuSkx9xtwluRZZN+PhMcfl18qvzWfOfi7HIjvSqkxmUCiBht5ux2Yx9ikunb2NwUlW/WvOCmDQiI68hLu4+9PooSkvvpaTkNkAhPPyrpKe/fUr+xkSjpeUjAAyGpSpb4hrc7gQkScJgWI7RuIm6uucmtBOQZQvFRpnDDRbkKWfOlBwrWys2OEbm+xyAYwZGkB2iAWxDkrDOjOhLqlIGBlmNob/ivPN+BkB3dwm7d8+nt7cGSQpg9uy3JsT8/3Do6NgGQHj4xPy8quQJpKQ8yd69OVgsdVit7eh0IWqY4XJez7u6781ayQvHVrls3fw7u+7DOsgBzAuF2xIV0g0aNJpgZNmCLHf1HS0IDMwkNvYHBAZmEBCQNjBo6VOdP5CGrdf4sDLZMRJeVvb/qK7+HaAQGvoV5sx5f0IOkJ0JRwVnyW1CNO5GFVERg2EhkuQoK1VZ+Ws1THAptbXPs21bNJsq/jeQrtxrM/Henp8hy86t+2e1tpOqKx6oo6CT4LZERyKWovRis7Wj04URGfl1wsK+ihA+dHXto7T0LqqqHsNu7xloKzc+l6cy4DupUWy4dQNZETHk5ydTXf0kkuTL7NnvkJn5yaRyAAAWSy1abajaZrgM1ZSFYmLuBKCu7h9qmeB0amr+SF5eGEePfhurtYll8QsHVIV0EiTxBXl5gZSVPdi3sGjs7Nt3PukGhacyNPxqxcN8cdt2vnelnTlz3icy8gZ8fOLp7a2hqeltWls/QFF60WiCEEKipeUD8vNj2bt3xUDF5nQD3D4jnhjbpxQUTKe3twKD4XwWL24mKurac1gz8bDbzRxsM/HGCd8JK3kuFOXUMl2uYsGCBcquXbsAx9RTXl4QAIsXN6HXR7jNDmciyzLV1b+lquoJ7PYOQCI8/DJSU/+Bj08Mn5e8zJsFt7EwcirLk79CQ8OrKIoNSfJlypS7SUn5LZI0uqisvn49R444ZNPnzv2Y8PCLz2ij0biFhobXMBq3YDYfR1FOdUJ6/VT2Np1gv1FLpsHGnBAfZs5cR3T0TaOybyLw1vYbuXXD61hl8NH6ebwUmhBit6IoIxJsUE1PQKsNRKebgtVaS1nZ/cya9ZJapowKWZapqHiYmppn+gbeNEREXEdq6t/R68MGjrswbTWGjqfp7j5ATMztzJjxF44du4/6+heoqXmaEyfWEht7F9On/35Eo+x2u5kjRxwrJcPDrz6jAwDHYGxo6ApCQ1cMbOvo2EV9/cu0t2/EZDqKotjY23SibwzDhk6S+OyWD4mOvnDE92aiYLN18dmxtyZ87QNVhUanT3eoBDc2vqmmGSNClm0cO7aGvLwAqqoeQ1F6iYq6iaVLW5kz5+0hDqCf1NTnAXi34Gae3P4Mrf6rWbasiylTfgAo1NY+y9atQZSUfA+73XzK+adjz54cQEaSAkhPf3fEnyM4eAGpqc+Sk1PM+edbWbjwEEd6U04WalUEedWFI253IlFUdCVZBjt6jXZC1z5Q1QlER38DECiKGZOp5pzHq4ndbubo0bvZujWAmpqnURQ7sbF3smSJkdmzXztrWrDBsJBS81S+v7OSn2/8KRe8vILt1dtJTX2WZcu6iYv7ESCoq/sbeXnBHDlyJzZbzxnba2h4Y2CJ8oIFe8ecFQgOCfYr0u/rkwEXE/aBHy6NjW/R3r6JeVFJbFy9ZUKrIqsuLxYYOJ+url2UlNxGVtbnaptzCjZbF8eO3UNDw3oUxYoQPkyZcs+Iu+/7jdoh3cqXN69ESXZIoIWELCcj4zNaWv5Dbe2fqa9fR0PDy0RF3cSMGX8eklUpyzYOH3bE6HFxP8bf33lLlLMiIngqA46zjGvnPTEhH/jhYLP1cOTIbYBEZuan+PvPmND3QnUnMHv2W+zcmUJ7+ya1TQEcmXebKjaxNG4+YT0v0tT0NmBHkvyIi/sRycm/HtVAXkawqW+BjYROklgUk4Si1A1IoDkKqEhoNBH4+MRgsdTQ0PAyDQ2vERV1Pampf0WrDaawcC4go9VGMH36U0797FZrM+kGuCL5chIn8EN/LoqKvoosm4iP/4lTnaynoroT8PdPRgg9Re0Wvvj8Hi5Ju1E1r5tfnc+qVy6g12buS5uFjLBA4uLuJzHxoVF3uy2WRlL9Glmbk0Sj/11DFtjYbF00Nb1LS8uHdHXtobe3mt7exkFn22ls/CeNja9T0h3OrpZmsgzw7UvLnPCJh2K1tgCg14c7ve3xQmPju7S3b8DHJ4Fp036rtjluQXUnAFDNYtYc2IRV/jO/K1inWuy1qWITvTbzgHpxBRfwvSWfjTnmrqx8HICvzL6X+Pj7huzTagOJjV1NbOzqgW09PWU0Nb1BW9tGOjsPYLc3U2xUWHOguS+bT8e8ecVOv0dWayvgWCg0Gcmr3MQrW24gMxhuu/BTtc1xG2MeURJCaIQQe4UQoy65e7Az9GS8bDOpVq9vRdIKRxVcHMk9yVIeHR3bx9xuU9NbgMTUqcMTO/H3n0Zi4s/IytrAsmVNLF9up87ntkHy6rJL7pHN1g6AThft9LY9nc3lH3LhKytZV27l/oNaDrS2qm2S23DG7MC9wOGxNDA3sHEg7VUrQZRpHbJscYJpI8OhTbCRRy/4DesvvoPZQRb27VtOZeUTo27TbK7FYqklIGDOqFfbSZJETnSUy0fu+0VC9PoYp7c9EvKr83l86+NuydCz2TooKrqW1/KuHORklUlVOHZM4YAQIg64HPg18OPRtpOoOcjTWXraDQ8R0/saKboS8vMTWLBgHz4+7n0gB2sTtLbewMGDl3P8+IMYjZuZM+e/Iw4NqqoeAyA29jtjsitB7OSpDGgO+hFfmXGdS8Ilu70TAL1evZ5AfnU+F7y8HIvd5tIMPbvdTGnp96ivfxWwMz88kNeqerHKskdMj/YPULtDoGWsYwJ/AH4CBJ3pACHEXcBdAAkJCafs7+4uwW7vIDduGdnZPwd+TnHxN2lqepOCghSys/MICpo3RjNHR1jYKhYtqmDPnhxaWz9mx44E5s/fNSLH1NT0HiAxZcpdY7Kls3M3c0MDWL7cuTMCg+l3AmouEBpcyt1iM7Gx/FOn/ghk2UZZ2QPU1q5FUaxIUgCJib9gefz9ZGYUeIRClWOA+qRknqvHyEYdDgghrgAaFUXZfbbjFEV5TlGUBYqiLIiMPHXAybFEFWJjT/5I0tPfIDHxEWTZxO7dOTQ2vjVaM8eMj08M551XQVjY5VgsJ9ixI4nW1s+Gda7JVInV2kBgYNao1wf0t2O3dxIUlD3qNoaD3d4NCJde41z0F/noDw1DO56grW3jmNt1pHn/iry8YE6c+AMgER//fyxd2kFi4k+QJInc+FweXPag6jkBDkdowa7YB1KVXclYxgSWAF8VQlQAbwAXCCFeG2kjra0fARqiom4csj05+WFmzXoDUDh06HoqKh4bg6ljQ5IkMjI+JCXlSRTFwoEDX6G8/BfnPK+y8lGAYQ8Inona2rUAREZeP6Z2zoXd3oMQGpde41zkxufyTHYAd6b48MqqbzA7qJf9+1dx5Mido16GXVPzZ7ZtC6Wi4mEUxUps7HdZtqyDadMed0q2pbNZkbQCvUbvtlRlp6wiFEKsAO5XFOWsKtODVxECWCzNbN8eib//XHJyDpz2HKOxkP37z0eWTURGfpP09NfHbO9YMBq3sX//RciyCYPhfDIzPz/jW37btihstjaWLesd08O2c+dsenoOs3RpN1qt/6jbORfbtsVgtxtZvtzksmsMh82bfdHpwli8uBajMZ8DBy7Fbjfi4xNPVtbmYVdzqq9/jbKyH2G1NgMSkZHXk5b2nFN0LV3NaMcERrOKUFU36MiSg+joG894jMGwkJycY+h0kTQ1vcGuXQucthZ/NBgMS1i0qAZf3xSMxs3k50/FbK465bienlKs1iYCA+eNyQHIsozJVIpOF+NSBwAOERIh1NcLVBQrGo2jlJTBkMuSJY2Ehl5Mb281BQUzqKn541nPb27+kO3b4zhy5Bas1hbCwi5n8eIG0tP/OS4cAODW0MQpTkBRlE3n6gWcDkdKLkyd+oOzHufrO4VFi6rw959LV9duduxIwGJpHp2xTkCvDyMnp5SIiOuwWhspKJhOc/P7Q46prHSEL3FxPxzTtdrbN6AoNkJCzh9TO8NBli1Ikvvk0U9vgwzIQyTnJElPZubHpKW9hBASx47dx549S05ZZNXenkdBwQyKiq7EYjmBwbCcRYsqyMj4cNzqVbgD1XoCsmzBZDqGj0/CsLyzRuPLggX7CA+/Gouljh07kujsPH0I4Q4kSWLOnLeZPv1ZFMVOUdHVHDu2ZmB/S8uHCKEjMvKGMV2nX3lprLMLw6Ff7ERNLJZawFGG/svExq5m0aIq/PxS6ejYzvbtkXxS/Ece2XAv6z6dxr59yzCZjhEYOJ+FCw+Rnb0ZX99TZ6TUxp15EMNBtbThurp1OGSrh1+wUpIk5s79F+XlP6Wq6nFe2ZjJkd5p3Jj7qmojunFxPyA4eBH796+kpuZpjMZtpKb+DZutleDgJWMeeGpv34IQWreUvypqt3CwsxviXKeMfC5MpnIA9Pqo0+53zNaUUFb2AB8X/Z41m+8bkEhfm5PIdYvexmBY6E6TR4S7p/+Gg2o9gfr6FwFISLh/xOeGhKzimDmBNQfgL4fLWPnSUlW9anDwAnJzT+DvP4vOzgJe2Tif9VVQpx2bRLXN1oXV2oCfX6qTLD0znxz6C2sOwD/KWln1ykrV7qfZfBxwSJ2djaSkRznYFTxIBEWi0f87Hu0AwP3Tf8NBNSfQ1bUPrTZs2N21np4yiotvYOvWIA4cuJCCxqohufSv5n0Nm63DtUafBa02mJycQ1QrS1hzQOaF43Dt+z/n8yMvjLrNfkcZHu760p67m9sHKSP38vau+5yujDwcensdBVx9fOLOeIzF0sqOHcnMDexAJ0l9U2k+qmf5DQd3T/8NB1XCgebmj1AUK6Ghq856nM3WRWXlr2loeGUgVhTCh7Cwy7g+5lrWV/8Ai82EVoJ0/wa2b4/FFPE79rQYVcn66u4uYWv1jiE56G/uvIPA9sdITn6c6OiRzfM3Nr4BwNSp33eBtUNZmbwSn61+9NocugfTpJ3s2JFAZuZnbtXb7/+ez/RyMJurKCzMwG43cv606/hi3o89IstvuHhi7UxVnEBt7bMAxMWtOWWfLMs0NLxIdfUf6ekpwlFSQxAYOI/4+J8QGfn1gTh7w62z2Hj8c0KNv2Z2UC8H23pYs/n7qijDmkzH2b07m0yDHb1G15eDrmVRTAJmcymHD3+T0tLvMnXqvSQm/nxYGYRdXfvQaILcMrjV/3BuLP+U8K6nmBnQicVygsLCdBISHiQlxT31IRxVnMHPb/op+zo7D7B373nIspkpU+4hNfVPA7aPJzytdqYqTsBozEOS/DAYzhvY1t6eR0XFIxiNWwYq3/r4JBAbewfx8T85bT57/81sbEzj0KHrOdAZiFXucrsyrOPtNBdZNnF55qPMm7dqiKc3mSopLb2b1tZPqKz8JVVVjxMZ+XWmT//TaYVJwdGrkOUeQkJWutz+fvrvp9l8Bzt3zkCWzYCGqqrf0NT0NqaI35Ffe8ilbzBHYg/4+iYO2d7WtokDBy5CUWwkJ//GKRWtvThwuxPo6irCbu8iJGQlZnMVx4//gubmfw8sY9VoDERGfo2kpF8O+w0YFfUNTpx4lgxjHjpJYJUVdJJwS7xlNtdSWJiOLHeTkPBzkpJ+ThJD305+folkZPwXm62H8vIHqK9/kcbG9TQ2/hODYRkzZvyFwMChFW9PnHCkCquh+e/rG0d29jZ273YoGvv7z6Ww7iBrPr0aqyzw0fq6rJdltbYBYsiy68bGdzh06HpAIS3teWJj73D6dSczbncC/951L5urYH73HtrbHd5eCB2hoReSmPgwISGjq/w6d+5/6eiI4qmMXvYZBdmhWs6bet65TxwDFksjhYWzsdu7iI9/gJSUR896vFbrT2rqWqZPf5ba2meprHwco3ELu3bNwc8vlWnTfkdExFcBaGv7GBBER9/i0s9wJoKC5jFnzrsUFV2NyXSUcmUpVjkPGcWlvSy73YgQJx/Lmpo/c+zYPYCGOXPeJyLC9YOk45H+NGP0BIz0XLc6gW5LN3du3Y1VhlcrjazNSeGyjJ8SHf2tMc+na7XBzJjxZ5Sj3yYjLBi73UhV1WMkJZ17oc9osFha2blzJna7kSlT7mHatCeHfa4kScTF3Utc3L20tPyPsrL76ek5RFHRVeh0kdTrruXjkmMsjAhnhYplvyMirmLatKcoK1vDdO1edJKEVZbRSRqX9bLs9q6BrMXy8oeoqnoMIfRkZW3CYPCcONqTGJx7QDgjnk926xRhp6Vz0Lyuhkb/O4mNvcNpK7mmTLmTwMDsvtBCoqrqSZdMc9lsHRQWpmGztREb++2BAarREB5+KTk5xSxceISQkAvY19zETZ/8jReOK/xwd6vqWWXx8T9mypS7mRXYzZ/mh3F7Mvwh299lYwKybEaS/Dly5E6qqh5DkgJYsOCA1wGchcG5B4xiLbhbnUCQPgidJCGBy+ZIMzIgBzQOAAAWHklEQVQ+7utOKshyN9XVzlWMtdm6KChIxWptJjp6NWlpzzml3YCANLKyNtAW8tAgR4lHJJOkpq4lNPRiUv2buTXZQFpAOydO/NUl1zrY1svL5W1sKFmHVhtGTs5RAgLSXHKticLg3AMc02kjwq1OIEAfwIsrLub2ZPj3NU+75G2i10eRnPwE/feiqupxp/UG7HYzO3fOxGptIDLyepfUT1yVcik+Wj+PS4CZO/cj/P3TBwZwy8sfdNp9lWUbbW1beKfgdtYckFlXbmXNAYES9ya+vlOcco3xzLnWGvRP7z668lFo4ehI23f7wODihBXE2v/H9KBel10jIWENdXX/wGQqwW7vpKbmKRISHhhTm7JsYefONCyWE4SHX016+htOsnYonphMAo5xjPnzd7FjRyJWayN2u5Hq6t+TmPiTYbdhs/XQ3r4Jo3EzXV176Ok5htXagCw79As+qWJIGnBedSHLkiZvQVQY/lqD/undn1p+2j3Sa7jdCfRLZHV3F7v0OpmZn7Jjh2P2obLysTE5AVm2sXPnLHp7qwgLu5S5c//lLDNPi6clk/Sj0fiycOFBduxIRpZ7qKh4iPj4+08Z07Fa22lr+5z29i10d+/HZCrDam1GUb7s+DVotSH4+88iIGAOVwZH8VrVn7DKdo9JqVWb0601cPazoYITcCzwMJmcX0FnML6+CSQk/Jyqqsew2zuorv7DKYU/hsO2qq2sz7uG9IBmliReQEbGRy6wdvyg10cxb14Bu3ZlUNRu4c03prI8MYcZvg2YzZXYbC0DyV79CKFDqw3H1zeRwMAMgoOXEhb2lVMEW2cBGyOv8bhekJr0x/v9PQFXOEanyIsNl355sU2bNPj5TeO880YcvoyYbdvisFpPIEkBLF/eNezzLJZG3t/zALd89krfUlWJL27L8z6YfXyw9xG+8eEvB5bxPpUBc0J80Oki8PObRmBgFgbDMkJDLxwiEOJl5IxEamw08mKqpA1Lkt9Aeqirycr6jMLC2X0zBWfuDciyTEvL+9TXv4DRuB2brZVPh8SouC0NeTzw8eG1Q+L39pBfcP75D6tt1oTE1eGhKkuJdbow7Pbhv5XHQkDALKKjbwegvHzoIJbJdJxjx9ZQUJDGli06iouvoaXlQ+z2bgID53PR9G+elL8WMkvjPXuturs4dOhW0gOahyzjvSDlK2qb5WWUqNIT0Otj6O2tRpZtY9LjHy5paf+gsfE1itotvP1mMgvCg0nWlaEoJwdSdboYDIblREevJjjYUeykav9jfCXaUZvvgrAG/Jr/HySdtczChKeubh2Nja+SGR7OhtXvsaVymzd+H+eo4gR8fZPo7Cyku7uIoKAsl19PkiR6wn/Lmi0/wipXDMSw6YaTx1it9TQ3v0Vzs6PQSbER1hygL+Zt5LIpKXR17aG8/BekpPzK5TZ7Il1dRZSU3IUQWubNK8DffxpLEparbZaXMaJKOODnNxOAzs5d5zjSeexrMw0S+4B9xpP7hNCj1TrqH4SEXExY2OUctaQNEQcpbGoA9FRVPUZHh/vs9hRsth727l0KyMyatR5//2lqm+TFSajiBAIDMwHo7j7otms6yo47MvF8tH5cn7OOKVPuxt/f4ZBstiZ6eg7S3v4JHR07mB9hQK/R9cW8GuYGdQNWQOHAgYtUqZqsJnv3LulbLHU3UVHfUNscL05ElXAgONixxNdkKnXbNU+fiXf7wP7OzgPU179IW9vnmEylJIid/H6uo8cwPzyIeZGJ9PQcBuzYbO28sjGHOp/rJ0U8XFLyPbq79xEYmE1q6lq1zfHiZFQaE4gDBGZztVuve7aplqCgDIKCnhn4u7v7MPH1L5LT+ikmU0mf1JkDx3jBfqzyfrfLmLmbhoY3qav7GxqNgaysPLXN8eICVFMbPtSpY93RctWXyp6JgIBZTJv2JAsX7mP5chM5OcdISHiQwMB57DNKA+MFniIb7Qp6eso4cuRmQCI7O8/lZdC8qIMqTiC/Op8f77PwfFkPq15Z5bGOYDD+/tNISfkNCxbs5vaVeX3jBWLC5rjLsoU9e85DUWykpT1PYOActU2akHhCNSJVwoFNFZsGvUl7x10mXm58LhtXb57QOe779q3AZmshOvpWYmO/pbY5ExJPqUakihNwjNT70mszoxXKuHyTeupKP2dQVvYTOjry8fObyaxZL6ttzoTFHSsEh4MqTsAxUr+RV7deSXpAC9mRZy855cV9NDd/SHX175CkAObPL1DbnAmNO1YIDgdVVhH2U1f3MiUltxEZeb3LRDq8DB+zuYaCgmkoipXs7AKPr+s3ERjJCsHhMG5WEfYTHX0LpaXfo7n5fWRZdprgqJeRs7ViE69uvZjMYAtXzf+T1wG4CU8IK1X91UmSRETENSiKmfr659U0ZVKTX53PRa+uZF25hTUHBNUje5F4JJ4w6j5eUP3Vm5Li0OuvqnKuKrCX4fPOrh8P0QYY73kP/aPuD33x0LiZglaTUTsBIUS8EOILIcRhIUSxEOLe0bTj6zsFf/90zOZyenpcKznm5VRqa58nRdqBTsKjymWPhdONuns5M2PpCdiANYqizAIWAd8XQsweTUP9VYLKyu4fgzleRorRmM/Ro99hToiWj775Oo+ufHRCpEAP1uF3lVObSOHGqAcGFUWpA+r6/t8phDgMTAUOjbStqKhvUFJyB62tH3kHCN3EprIP+Of2a8kMlrl+iaPG3wUz1LbKObhatt1TknychVN+bUKIJCAbOGViWQhxlxBilxBiV1NT0xnbiIr6Jopiobb2WWeY5OUsfHr4OS7551WsK7dx/0EdpaZw1Wxx1Rs1Nz6XB5c96JIf50QLN8bsBIQQgcC7wH2KonR8eb+iKM8pirJAUZQFkZGRZ2wnOfm3gKC6+umxmuTlDHR2HqCwMJu3C78zSDBFVu0hdvUAnqscjDvCDXcypjwBIYQOhwNYryjKe2NpS68PIyAgk+7ufXR1FRMYmD6W5rwMorv7MEeO3Dqg5HReVByvVTditbuvyMfpkmJcmTbryi67p1aJGi2jdgJCCAGsAw4riuKU13dy8qMUFV1JefkDk77IhzMwmY5z+PDNdHRsB8DXN5nU1H+wImwV6enOzVQ7G2f6QboybXY0DmYk2XuekOTjLMbSE1gC3AIcFELs69v2U0VRRv3rjYi4Ao3GQFvbZ25TIp6ImM1VHDmymvb2TQD4+MQzY8ZfiIi4YuAYdz7EZ/pBuvKNOlIHM9EG+0bCWGYH8hhFLfRzER19C7W1f6a6+nckJj7o7OYnNL299Rw5spq2ts8ABb0+lunT/0RU1HWq2nW2H6SrnNFIHYynrOhTA1UXEJ0Om62DvLwQ9PpYFi8+4SbLxjcWSyslJatpafkvoKDTRTJt2tPExNystmkDOHuhjLOZKD2B0Swg8jgnALB7dw47agppCvw+F6feNC6/DHdgs3Vw5MjtNDf/C5DRasNISXmcKVPuUtu0cYmnO6rhMGGcwCfFz3LVez/EKjPhhTxHw9aKDby3ew3TtQdJN8hoNAaSkx8lLu4etU2bkIwn5zDulhKfid0txkHyY+ZJFZ+di03H3uOS168dqAb8z0vu5ur5z3qzLF3ERAkTzoZHPjkrk1cNKgSqMNu/RW2TPIb8upJBK/40lJjjvA7AhUy07MDT4ZE9gdz4XP4wL4g9rWayDAqGzqdoaFhIdPT1apumOv2VlNSWpJoseIoEmCvxyDEBgG3bYrDbO8jM3MDevcsAmYyMTwgLu8i1Rp4BT4oLPcmWycB4ut8TZmAQYPv2OKzWJs4/v5fm5o8oKroCRxGMfLdLX20sfYPL37wFqyyj1/hMyLjQy8RgNE7AY4NJSdLjiHwhIuIyZs58BbCzb99SurtL3GrLJyWvYbHbsCvyhI0LvUxePNYJCKFHUeSBv2Nibmb69D+gKBZe3pDOAx9c4jZBh6Vx2X3KOxO34pCXyYtHOwEYGqrExd1LmWU6P95v5+m9n7hNPy43biFPZcC9cxd5QwEvEw6PdQKOcOCkE+jpKSM/P4Ed9cdO5hDYTG7pmut04aQb4M6ZqV4H4MUtuFO+zCOnCAEkyWfg/xUVj1FR8TAgsyx+Ia9WFmKVQSvBDP0Rl9ui1UYAYLd3uvxaXry4O0HJY53AwfZe8mqg9OMkZvhWIoQPM2e+yIroG7DZZpJfV0J2qA8RpldoabmR8PCLXWaLTudQRLLbu1x2DS9e+nH3ikaPDAfyq/P5zrbdvHAc7ims5LhtJosX1xMdfQMAObHp3JQA1yx8ERAUFV2F2VzrMnu02hAA7PZul13Dy+TkdN1+d8uXeWRPYHDpcqsM9T63otOFDOz3908DQFGspKT8jvLy+9mzJ4dFi6pckkLb36Ysm5zetpfJy5m6/e6WL/PInsCKpBXoJAkJxyKZhVFThuwPCJgLQE/PQRIS1hAWdjkWy4m+hCJXISHLPS5s38tk42zrElyplvxlPNIJ5Mbn8vyyxdyeDE9lQEDrL4bsDwrKAaCnpxSAOXM+wMcnntbW/1FZ+aRLbBJCwm43u6RtL5MTT1Et9kgnAJAZHsZNCQ6H0NtbRWXl4wP7fH2TATCbKwFHd33evJ0I4cPx4/+H0bjNBRZpUZReF7TrZbLS3+1Xu/KTxzqB/pTh1NR1CKGjouIXWCytgONHL4QPVmvDwNE+PjHMnfsfQGH//osGjnUWkqRFlr1OwItzcWe3/0x4rBPoX9ik1RpITn4cRbFRXHzVwH6tNhibrX3IOWFhF5GQ8BCybGLPnhxkWcZZCKFDUaxOa09tJlItvcmCq74zj5wdGIwQEgkJa6itXYvRmEdz80dERFyGTheJ1dp8yvEpKb/CaNyC0biZw4dvJD39DSfZoZ8wswNqqeWMpyW5nkR+dT6v7H+FF/a9gF22O/0789iewJfXDcyZ8x9AcPjwjciyjI9PHKBgsTSecmZm5ufodFE0Nb3JiRN/H7MlsmyjqN3CqxW9E+LNqYZajqtLjk1U+u/b33f/3WXfmQc7AQdCOEwMDEwnKupG7HYjpaXfxc9vOgAdHTtPOUeStH0DhVpKS++ms3PfKcecDlmWMRoLqKh4jIMHr6SgYAZbtgTy1//ouHdPGy8cVybEA6zGqPRkkOlyBf33Tel7KQqcv5LVg8OBU8VOZs58iZaW96mre57ExEcA6OraN6SyTj9+fonMnv0WxcXX8NrmJbQGPcAFKReTG5+LLMt0d++jtfVTOjoK6Ok5jMVy4jRpwRJarYFDPUFY5fo+4dPxX5hCjVp6k0GmyxUMvm9aScu3sr7FrZm3OvU7GwdO4GRnRZK0pKW9yKFDX6e+fh0APT2Hz9hCZOTXaNBfx4/2voNV/iWPbvkVz2T7MSvQxFAnI9BogvH3n0tAQDoGw2LCwi7B338GAJrqfNYdW4pNlifMA+zuWnoTrYinu3DHffNgJ9DP0IglKuo6qqsXDFTYNZsrTjnDYmmkpuZZGhvf4PNjxwalICvsa7MzP2om/v7pGAy5hIZefM4KyLnxufxtcQa7W4zcmLve+wCPkolUxNOduPq+eawTOJv24dy5/2X79ikUG+0cPFHM6sh8Zgb2cuLEn2lv34TNdlKiPMvgSD3uL2Ry24oN5IzihmaGGcgMM5DtfYi9TDA81gn00z8wOBi9Popmv5tYs/UVrLKRl8oX81QGpBvA0XMQgIJGE8w1OU8TEPhn71vci5cz4MFO4OwqyAX11UNWGh7qiWFuqBFZNiGED/HxD5CU9EskSSKz/lXvW9yLlzPg8U7gyz0BWZYpKvoqSXwx0M3XSTDbvx5ZloiOXk1q6t/QaHzVMNqLl3GHBzuBfk46AZuti92752EylZIZHsnTmUb2tlvIMsDSpIuYNeuf6PURKtrqxVPwZicOHw92AkPDge7uEvbsycFu70CjCcZma2J2MMwJCWD+/EICAmapZKcXT2MyFBF1Jh6fMQgSzc0fUFiYjt3eAYDd3oGPTzz+/hkEBS3wOgAvQ/BmJ44Mj3UC/VOEFRW/pqjoKsAOOPT+0tJeIje3Cp0uVEULvXgi+dX5VBmr0Epa1cU6xgtjCgeEEJcAfwQ0wPOKojzhFKuAfS1tbDsBWcbfkG5wLOVNSPgZiYkPeUtxezktg8MAjaTh2/O+7fQU24nIqJ2AEEIDrAUuAmqAQiHEB4qiHBqrUfnV+Xx3+56Bkf9151/EDUs/7CtI4sXL6RkcBiBDgiHB6wCGwVheqTnAMUVRyhVFsQBvAFed45xhMVht2KZoqBIrvQ7AyznxFM2+8caoS5MLIa4DLlEU5c6+v28BzlMU5QdfOu4u4K6+P+cARedsXE8A4aTSn/rXwlEsuFv0PwI4VbXEcxlP9rrOVj0B+BBEL51OfGbG071NUxQlaCQnjGVMQJxm2ykeRVGU54DnAIQQu0ZaO10txpOtML7sHU+2wviyVwixa6TnjCUcqAHiB/0dB7iuDJAXL15cwlicQCEwQwiRLBx1xL8JfOAcs7x48eIuRh0OKIpiE0L8APgExxThC4qiFJ/jtOdGez0VGE+2wviydzzZCuPL3hHbOuqBQS9evEwMvFk3XrxMcrxOwIuXSY5bnIAQ4hIhRIkQ4pgQ4v/ccc3RIoSIF0J8IYQ4LIQoFkLcq7ZN50IIoRFC7BVCfKi2LedCCBEihHhHCHGk7x57bEqfEOJHfc9AkRDidSGER4lUCCFeEEI0CiGKBm0LE0J8JoQo7fv3nAtsXO4EBqUXXwrMBm4QQsx29XXHgA1YoyjKLGAR8H0PtxfgXuDMssuexR+BjxVFmQlk4qF2CyGmAj8EFiiKMgfH4Pc31bXqFF4CLvnStv8DNiiKMgPY0Pf3WXFHT8Bl6cWuQFGUOkVR9vT9vxPHQzpVXavOjBAiDrgceF5tW86FECIYWA6sA1AUxaIoSvvZz1IVLeAnhNAC/nhYHoyiKFuAL1fevQp4ue//LwNXn6sddziBqUD1oL9r8OAf1WCEEElANlCgriVn5Q/AT+gv4+zZpABNwIt94cvzQogAtY06HYqinAB+D1QBdYBRUZRP1bVqWEQrilIHjhcaEHWuE9zhBIaVXuxpCCECgXeB+xRF6VDbntMhhLgCaFQUZbfatgwTLTAP+KuiKNlAN8PorqpBXyx9FZAMTAEChBA3q2uVa3CHExh36cVCCB0OB7BeUZT31LbnLCwBviqEqMARZl0ghHhNXZPOSg1QoyhKf8/qHRxOwRO5EDiuKEqT4qhJ/x6wWGWbhkODECIWoO/fUyv2fgl3OIFxlV4shBA4YtbDiqI8rbY9Z0NRlAcVRYlTFCUJx33dqCiKx76tFEWpB6qFEGl9m1YBY9afcBFVwCIhhH/fM7EKDx3E/BIfAKv7/r8aeP9cJ7hcaHSU6cVqsgS4BTgohOgvZ/xTRVE+UtGmicQ9wPq+F0I58C2V7TktiqIUCCHeAfbgmDHai4elDwshXgdWABFCiBrgYeAJ4C0hxB04HNnXz9mON23Yi5fJjTdj0IuXSY7XCXjxMsnxOgEvXiY5Xifgxcskx+sEvHiZ5HidgBcvkxyvE/DiZZLz/wFKderFoHpb0wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    plot_wall(place_holds_2d(10))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get a feel for the internals of a `Wall`, let's look at a smaller one:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bVHVX0vRcIKSqLe7ry4AvjvTzgrJh/9MnCoe6E7D1WAdL80/Od4YJ2UQihWRmziQ7eymTJr2RSZNWkZu7fFwPDYLQ1raTioq1dHfXEo1OYeXKP7F798dOW+7QoW8CIRYu/PbYB3mG8qMt4+eBycB/uS1dey+tTgN+7U6LAD9X1f8ZhX0YE1ev/g4/3XcT3QmIhoTyAiG5DkG1m56eOD09x+nsPMjx489z5EjyScIw4XA24bBzKdI55zCXnJwl5OYuIy/vXKLRwjHfr3R06NC32bv3diDB5MnvYtmyhwmFTv9VPXLkQeLxRoqLrzhjhmrpwI+2jLcCt/YzfR+wcvihpZe3LLqBb624iaqOGVz3podZM2sNsdgBamrW0dj4pFvk1HFi+VAoj4yMqUSjUxAJ0d1dT3d3I93d9XR1vU5b27Z+PkXc8xn5RCKTycwsIzNzNjk5i8jJWUpe3rlkZs6asIfh8Xg7lZVv4/jx5xGJsmTJz5g2beBfv337PgfAokV3jVWIBqsITVkoFGJ5YYRzMyInToJmZ89h/vz/ZP78/wScQ+ra2ntoaHiKWGyXe//EPgCi0akUFLyJqVM/wJQp76Orq5bW1gra2l6ho2O3eym1hu7uo/T0HKe7+yix2Kv9xiISJRzOdc+PTCMjY6Z7qXQJeXkryc1dOu6GQ8eOPcv27X9HT08r2dmLKC9/lszM0gGXb25+gc7O18jLO5fs7DljGKmxpOFBKJRLPH5swPm5uYtZsOAbLFjwDQBaWiqpqbmHpqanicX20tDwOA0Nj1NVdR0ZGaVMmrSGadOuZ9asz/R79BCPt7qJ5WXa2191E4tTqBWPN9HRcZCOjv0DRJM8HJpCZuZ0srLmk5NzFrm555CXV542w6Fduz5JdfX3AZgx45MsWnTnkOvs3v1xABYt6rf3uBlFljQ8iESK6Oo6nPLy+fkryM//3on3zc2bqK39CU1Nf6SjYz9Hjz7K0aOPAkJm5gwmTbqIadNuoLj4CkKhEJFIHoWFF1FYeNGAn5FIxGlvf5W2tm20tb1CLLbPLQU/Qjx+LGk4VNHP2ieHQ9HoZDIyytzajoXk5i4nN7d8VIdDnZ21VFRcTCy2m3A4j3POeXLQfe0Vix2gtXULmZlzKSiw+0vGmiUNDzIzS+nsfI1EIt7vibmhFBS8gYKCN5x439T0HLW162lq2kBHxwHq6x+ivv4hnMuLsygsfDOlpTdSULB2wP+4oVCEvLzl5OWddlvQKTo6DrtHLdtPVJZ2dfUOh1ro7j5Ke/tQw6FiMjKmutWjC8jJOZt4vIVQKNfz9+LIkQd49dWbUe2moOAiVqx4mnA4K6V1d+92Ssbnz/+q5881Iyeq6VdHtXr1at28eXPQYZxmx45/oL7+Yc47bxv5+St83XYikaCp6Rlqa++jufkvdHYe5uTVmTBZWXMoKnoLpaX/e9T+usbjx2ltraS1tZJYbKdbrVrtDoea6elpZ+AK1b7DoRlkZc0jJ2cxubnLTwyHEok4O3a8l4aG3wIhFiz4FrNmpVbJuXXrWhKJOC0tLxCJFHLRRQ1Dr2T6JSIvDfcGUjvS8CA7exEAra1bfU8aoVCI4uK3UVz8NsBJIo2Nj3PkyM9obn6ejo791NTcQ03NPYhEyMqaT1HRpZSV3Up+/rm+xBCJTEp5ONTaWkF7exXV1Xej2kk0WpLCcChZmPz8N9DWto0DB75Cbu5S8vJWnbgNfiAdHXuBBLNmfWZ4O2lGzJKGB7m5SwFob39l1D8rFApRUnIVJSVXAc5/1qNHH+XIkQc5fnyjW7K+i+rqHyGSQXb2QoqKLqOs7Fby8paNYlynDoeam/8KnPqMC+gdDm1xz7Ps4tixP9PZua93K0APLS0baWnZeNpnOMOhvBNXh5xiuYVsqt3LpvpaVhVlcPGsfzltPTM2LGl4kJfn/EWPxfaM+WeHQhGmTv0Hpk79B8C536Wu7pfU1T1IS8sm2ttfob39FV5//buIZJKTs5ji4isoK7uNnJwFYx6vUyI/k8LCt7Bt2yV0du5DJJOzz36AqVOvBpzhUEuLc56lvf1VOjv3u1eH6t2rQwdOXLLe0Qz/XOlU40YPdLOq/EV7yE5ALGl4kJ29GIDOzkMBRwKhUAalpddTWno94BRG1dX9nPr6h2lp2UxbWyVtbZUcOvR1QqFscnKWUlz8dqZPv5WsrLG5i7ix8Wm2b38XiUQ7OTnLKC9/loyM4hPzI5FJFBVdTFHRxSemtbfvpabmxzQ0/A+x2E5UnXMoFc0nn/8ZV7HnfwbIkoYHoVAIkQhdXUeCDuU0kUgO06ffyvTpTnFuPH6c2tr7OXr0UVpbt9La+hKtrS9x8OCXCIVyyc1dRknJVZSW3jJoEdVwJBIJdu/+MDU1dwPCrFn/yoIFX+l32Y6Oampq7qah4Xe0t79CIhE7MS8anUJ+/vlMm3YtN82fxQOHrqCrp4uMcIY9/zNAljQ8cgq8moIOY0iRyCRmzvw4M2c6RVBdXY3U1v6Uhobf0Nq6jZaWv9HS8jf27/93wuF8cnNXUFLyTkpLbznlaMCrjo7DbN16EZ2dBwiHC1ix4ikKCk4+yK03jqNHf01b2zZ6elqTYi5k0qQ3MWXK+5g27QYikZwT86YBz3zwGTa8toG1c9faUUaA7JKrRxs3zqej4yBr18aDDmVEOjtrqa39CUeP/o62tu0kEm0n5oXDBeTnr6Kk5D2Ult446M1gyQ/7ran5Cbt2fRjVOIWFl7JixRMkEnGOHPlv6usfprX1pVMSbjicR27uSkpK3k1p6c0jSlbGm5FccrWk4dGWLWs4fnwjF1/cPawCr3TV0XGYmpp7aGh4/LRhQiRSTH7+eUyZ8l6mTr3+lCMAp3YiQSSSw7FjTwFhpk27ge7uelpa/kZ3d/2JZXvPrUye/A7Kym4lK8ueDBkUSxpjaMeOa6iv/wXnnbeV/PzyoMMZNc4JyXvcO3hfRbXzxLxotIT8/POZMuX9/G7rHWw6eoDyAmVZQYjkxwU4l4LPYvLkKygtvZXc3MUB7InpjxV3jaHsbOfyZWvrtgmdNHJyFrBgwVdOnMBsa6uipuZuGht/Tyy2m8bGJ/jL/idOXgYNwbdWKKtLF1FU9FZfi85MerGk4VFurlPU1N6+I+BIxlZu7tmnPB3r2LFneeB3a+lOqHsZNMTx4i9zwQWfDS5IMyYm5tNcRlFennN0EYvtDTiSYO3d+ynKC5SMcISwhMkIZ9pl0DOEHWl4dLLA62DAkQRn377/oLV1K+dPX8Efz73LLoOeYVJKGim0ZhTgTuDtQDtwk6pucefdCPy7u+iXVfU+PwIPyskCr7qgQwlEc/MmDh78T0KhbMrL/0w0WmjJ4gyT6vDkXuCKQeZfCSxyv24DfgQgIsU4DyK+AKd9wR0iUjTcYNPFUE/wmqh6ejqorHwboCxb9uu0efKXGVspJQ23wVHjIIu8E7hfHRuBQhEpAy4HnlbVRlU9BjzN4MlnXIhGi91nS5xZKiuvoKenmbKyf2Ty5MuDDscExK8ToTOA5Lu4DrvTBpp+GhG5TUQ2i8jm+vr6/hZJGxkZ04AeEomuoEMZM4cOfZfm5j+TlTWfxYvt6d9nMr+ShvQzTQeZfvpE1XWqulpVV0+ZMsWnsEZHZqbz9Ou2ttF/rkY6aGvbyd69/4xIlFWr/hp0OCZgfiWNw8CspPczgepBpo9rJwu8tgYcyehLJBJUVFwMJFiy5D7f74g1449fSeMx4IPieCPQrKo1wFPAZSJS5J4AvcydNq6dLPCqCjiS0bdjx3vo7q6jpOTqQRsXmTNHqpdch2rN+ATO5dY9OJdcb3bnNYrIl4BN7qa+qKqDnVAdF04WeI39E7zGUk3N/TQ0/JZotJSlS38ZdDgmTaSUNFJozajA6d15nXnrgfXeQ0tf6fQEr9HS0XGYXbtuAcKsWvXchG0FabyzitBhmOgFXolEgq1bL0I1zsKFPwzkGaMmfdmfj2EKh/MmbIHXrl230Nl5gMLCS5k586NBh2PSjCWNYYpEiiZkgdfRo49TW3svkUgRK1Y8EXQ4Jg1Z0himjIxSJlqBV1dXIzt2vA8QVq78w7jrPG/GhiWNYcrMdNoATKQCr4qKi1HtYO7cL9gDdMyALGkMU3KLxolg797baW/fQX7+aubO/XzQ4Zg0ZkljmE62aBz/BV5NTc9x6NA3CYVyWbnyT0GHY9KcJY1hCrJFo5/i8XZefvlKAM4553EikbyAIzLpzpLGMPUOT8Z7gVdl5aX09LQyY8YnKSpaG3Q4ZhywpDFMToFXNC1bNKbqwIGvcPz4RrKzl7Bo0Z1Bh2PGCUsaIxAOj48Wjf1paalk//5/QySTVav+EnQ4ZhyxpDECkcj4fIJXIhFn27ZLAGXp0gfJyCgJOiQzjljSGIHx+gSvl19+B/F4I1On3sCUKe8OOhwzzljSGIGTT/DaHnAkqauuXsexY0+RmTmLJUvuDTocMw5Z0hiB7OyFgNOicTyIxfaza9dHEYnY7e5m2OzW+BE4+QSv9C8l773dHXo466z1ZGXNDjokM07Zn5oRGE8tGquqrqOrq5ri4r+jrOzmoMMx45gljRHoLfDq6EjvFo11dY9QX/8Q0WgJy5f/JuhwzDiXUtIQkStEZKeI7BGRf+1n/ndEpML92iUiTUnzepLmPeZn8EHrLfDq7k7fJ3h1ddVRVXUdEGLlyg2EQjYiNSMz5G+QiISBHwJvw2lJsElEHlPVEwN5Vf0/Sct/AliVtImYqpb7F3J6SfcCL+exfV3Mn/918vKWBR2OmQBSOdI4H9ijqvtUtQt4CKcN40CuBR70I7jxIJ0LvHbt+iix2G4mTbqQ2bNvDzocM0GkkjS8tFacA8wD/pg0Octtt7hRRN410IeMp7aMydK1wKux8Rmqq39EOJzPypV/CDocM4GkkjRSbq0IXAM8oqo9SdNmq+pq4APAd0Wk30dbj6e2jMnSscArHj/O9u1/DwgrVjxFOJwVdEhmAkklaXhprXgNfYYmqlrt/rsP2MCp5zvGvZMFXunzBK+KiktIJGLMmvUvFBSsCTocM8GkkjQ2AYtEZJ6IZOAkhtOugojIYqAIeCFpWpGIZLqvS4ALgfSvhPLgZIHXqwFH4ti37/O0tm4hN/ccFiz4StDhmAloyKsnqhoXkY/j9GANA+tVdYeIfBHYrKq9CeRa4CG321qvs4Efi0gCJ0F9Nfmqy0TQW+DV3h78E7yamzdx8OCXCYWyKS9/NuhwzASValvGJ3D6tSZP+3yf91/oZ73ngXNGEF/aS5cneCUSXVRWvg1Qli37FdFoYaDxmInLKkJHKF0KvCorL6enp5mysg8xefKVgcZiJjZLGj4IusDr8OE7aWraQFbWfBYvXhdYHObMYEnDB0EWeLW17WTPnk8jEqW83B7bZ0afJQ0fBNWiMZFIUFFxMZBgyZL7yMqaPqafb85MljR8cLJF49gWeO3YcTXd3XWUlFzNtGnXjulnmzOXJQ0fBNGisbb2ZzQ0/IZotJSlS385Zp9rjCUNH+TmOnePjlWBV0fHYXbuvBkIs2rVs/bYPjOm7OEKPujtsD4WBV69j+1TjbNw4ffJyVk06p9pTDL7E+WDrCznHryxKPDatetWOjsPUFh4KTNnfnzUP8+Yvixp+GCsCryOHn2c2tqfEokUsmLFE0OvYMwosKThk9Eu8OrqamTHjvcBwsqVzxAKZYzaZxkzGEsaPhntAq+KiotR7WDOnDtOnEMxJgiWNHwymgVee/feTnv7DvLyzmPevDt8374xXljS8EnvE7xaWyt93W5T03McOvRNQqFcyss3+LptY4bDkoZPep/g1dbmX4vGeLydl1927lg955zHiUTyfNu2McNlScMneXnOE7za2vx7xlBl5aX09LQyY8YnKSpa69t2jRkJSxo+yctzHn0ai+3zZXsHDnyF48c3kp29mEWL7vRlm8b4wZKGT/ws8GppqWT//n9DJJNVq54b8faM8ZNfbRlvEpH6pPaLtybNu1FEdrtfN/oZfDrxq8ArkYizbdslgLJ06YNkZJT4E6AxPvGlLaPrF6r68T7rFgN3AKtxeqW85K57zJfo00w4nEc8PrJde/nldxCPNzJ16nVMmfJunyXJ0VkAAAgUSURBVCIzxj+j0ZYx2eXA06ra6CaKp4Erhhdq+otEiujpiQ17/erqdRw79hSZmTNZsuR+HyMzxj9+tmW8WkQqReQREeltruSlpeO4bMuYLCOjjOEWeMVi+9m166OIRCgvf85udzdpy6+2jL8D5qrqCuAPwH0e1nUmjtO2jMl6n+DltcDLud39fwE9nHXWXWRnzxmF6Izxhy9tGVW1QVU73bd3A+eluu5EcrJFY4Wn9aqqrqer63WKi99OWdktoxGaMb7xpS2jiJQlvb0KqHJfPwVc5rZnLAIuc6dNSL0FXu3tVUMseVJd3SPU1z9IJDKZ5ct/O1qhGeMbv9oyflJErgLiQCNwk7tuo4h8CSfxAHxRVRtHYT/SwskCr70pLd/VVUdV1XVAiPLyPxMK2YPUTPrzpS2jqn4W+OwA664H1o8gxnHjZIHX4ZSWdx7b18X8+V8nL2/ZaIZmjG/sFL2PThZ4HRly2V27PkYstptJky5k9uzbxyA6Y/xhScNnToHX4E/wamx8hurq/yIczmflyj+MUWTG+MOShs+GKvCKx4+zffvfA8KKFU8RDmeNXXDG+MCShs96C7x6ejr6nV9RcQmJRIxZs26noGDN2AZnjA8safhssBaN+/Z9ntbWLeTknMOCBV8b69CM8YUlDZ/l5JwFnF7gdfz4Zg4e/DKhUBarVj0bRGjG+MKShs9yc5cCpxZ4JRJdbNv2VkBZtuxRotHCgKIzZuQsafgsL8+poE8u8KqsvJyenmbKym5l8uQrgwrNGF9Y0vBZVtY84GSB1+HDd9LUtIGsrHksWvTjIEMzxheWNHyWXODV1raTPXs+jUjUbnc3E4bd7DAKwuE8urubqKi4GEiwZMn9ZGVNDzosY3xhf/pGQVVrDv/9WisVR+soKXkP06ZdF3RIxvjGjjR89sKhF/jEptfpTkA0BM+s+nTQIRnjKzvS8NmG1zbQnYAEENcQzx6wmgwzsVjS8NnauWuJhkKEgYxwJmvnrg06JGN8ZcMTn62ZtYa73rSClxqa+cCaB1gzy+4vMROLJY1RsLK4gJXFBayyhGEmIBueGGM88ast46dF5BW378kzIjInaV5PUrvGx/qua4wZX/xqy7gVWK2q7SLyEeDrwPvdeTFVLfc5bmNMQHxpy6iqf1LVdvftRpz+JsaYCcjPtoy9bgGeTHqf5bZb3Cgi7xpGjMaYNJLK1ZOUWyuKyPU4HeLfnDR5tqpWi8h84I8i8rKqntYYRERuA24DmD17dgphGWOC4EtbRgAReSvwb8BVSS0aUdVq9999wAZgVX8fMhF6uRpzJvCrLeMq4Mc4CaMuaXqRiGS6r0uAC4HkE6jGmHHGr7aM3wDygIdFBOCgql4FnA38WEQSOAnqq32uuhhjxhm/2jK+dYD1ngfOGUmAxpj0YhWhxhhPLGkYYzyxpGGM8cSShjHGE0saxhhPLGkYYzyxpGGM8cSShjHGE0saxhhPLGkYYzyxpGGM8cSShjHGE0saxhhPLGkYYzyxpGGM8cSShjHGE0saxhhPLGkYYzyxpGGM8cSvXq6ZIvILd/6LIjI3ad5n3ek7ReRy/0I3xgRhyKSR1Mv1SmApcK2ILO2z2C3AMVVdCHwH+Jq77lKclgfLgCuA/3K3Z4wZp3zp5eq+v899/QhwqTi9DN4JPKSqnaq6H9jjbs8YM06l0sKgv16uFwy0jNsnpRmY7E7f2GfdfvvAJrdlBDpFZHsKsaW50zpalgBHAwhktE3U/YKJu2+Lh7uiX71cB1om5T6wqroOWAcgIptVdXUKsY0rtl/jz0TdNxHZPNx1/erlemIZEYkABUBjiusaY8YRX3q5uu9vdF+/F/ijqqo7/Rr36so8YBHwN39CN8YEwa9erj8B/ltE9uAcYVzjrrtDRH6J0/Q5DnxMVXtSiGvd8HYn7dl+jT8Tdd+GvV/iHBAYY0xqrCLUGOOJJQ1jjCeBJY2RlKanuxT27SYRqReRCvfr1iDi9EJE1otI3UD1M+L4nrvPlSJy7ljHOFwp7NtaEWlO+nl9fqxjHA4RmSUifxKRKhHZISL/1M8y3n9uqjrmXzgnVPcC84EMYBuwtM8yHwXucl9fA/wiiFhHad9uAn4QdKwe9+ti4Fxg+wDz3w48iVOb80bgxaBj9nHf1gKPBx3nMParDDjXfZ0P7Ornd9Hzzy2oI42RlKanu1T2bdxR1WdxrowN5J3A/erYCBSKSNnYRDcyKezbuKSqNaq6xX3dAlRxekW2559bUEmjv9L0vjtzSmk60Fuanu5S2TeAq93DwUdEZFY/88ebVPd7vFojIttE5EkRWRZ0MF65w/tVwIt9Znn+uQWVNEZSmp7uUon7d8BcVV0B/IGTR1Tj2Xj9eaViCzBHVVcC3wd+E3A8nohIHvAr4FOqerzv7H5WGfTnFlTSGElperobct9UtUFVO923dwPnjVFso2nC3jKgqsdVtdV9/QQQFZGSgMNKiYhEcRLGA6r6aD+LeP65BZU0RlKanu6G3Lc+Y8arcMaa491jwAfds/FvBJpVtSbooPwgIqW959NE5Hyc/zcNwUY1NDfmnwBVqvrtARbz/HNL5S5X3+kIStPTXYr79kkRuQqntL4R52pKWhORB3GuIpSIyGHgDiAKoKp3AU/gnInfA7QDNwcTqXcp7Nt7gY+ISByIAdeMkz9gFwI3AC+LSIU77XPAbBj+z83KyI0xnlhFqDHGE0saxhhPLGkYYzyxpGGM8cSShjHGE0saxhhPLGkYYzz5/z9EmLGTwxGGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wall = place_holds_2d(2)\n",
    "plot_wall(wall)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{(0.9934826941579458, 1.0572834992450997): (1.3314849992519568,\n",
       "  1.3023468539111032),\n",
       " (0.3583556329014106, 1.2190468817825952): (1.3314849992519568,\n",
       "  1.3023468539111032),\n",
       " (1.2499181582424967, 1.1234512122002231): (1.3314849992519568,\n",
       "  1.3023468539111032),\n",
       " (1.3314849992519568, 1.3023468539111032): (1.3314849992519568,\n",
       "  1.3023468539111032),\n",
       " (0.45747066866761976, 0.32822934854292884): (1.3314849992519568,\n",
       "  1.3023468539111032)}"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wall"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{(0.45747066866761976, 0.32822934854292884): (1.3314849992519568,\n",
       "  1.3023468539111032)}"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wall.paths"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also show a wall from the first event:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{(2.0, 0.8054573219536296): (2.0, 3.7940849597834956),\n",
       " (2.0, 1.5184730166577696): (2.0, 3.7940849597834956),\n",
       " (2.0, 1.8128499238377271): (2.0, 3.7940849597834956),\n",
       " (2.0, 2.2742370649657704): (2.0, 3.7940849597834956),\n",
       " (2.0, 3.1029899543622506): (2.0, 3.7940849597834956),\n",
       " (2.0, 3.120138418133569): (2.0, 3.7940849597834956),\n",
       " (2.0, 3.3476732789104258): (2.0, 3.7940849597834956),\n",
       " (2.0, 3.7940849597834956): (2.0, 3.7940849597834956)}"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "height = 4\n",
    "wall1 = Wall(height)\n",
    "for hold in place_holds(height):\n",
    "    wall1.add((height / 2, hold))\n",
    "plot_wall(wall1)\n",
    "wall1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Different Size Walls\n",
    "\n",
    "What if the wall had a size other than 10 meters? \n",
    "\n",
    "My guess would be that the expected number of required holds goes up roughly linearly on the 1-D wall, and roughly quadratically on the 2-D wall. I can plot expected number of holds for different wall heights, and fit a quadratic polynomial to the data (using `np.polyfit` and `np.poly1d`): "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "def fit(X, fn, key=len, repeat=1000, degree=2) -> np.array:\n",
    "    \"\"\"Fit key(fn(x)) to a polynomial; plot; return polynomial coefficients.\"\"\"\n",
    "    Y = [monte_carlo(fn, x, key=key, repeat=repeat) for x in X]\n",
    "    coefs = np.polyfit(X, Y, 2)\n",
    "    poly  = np.poly1d(coefs)\n",
    "    plt.plot(X, Y, 'o-', label=fn.__name__);\n",
    "    plt.plot(X, [poly(x) for x in X], '.:', label=poly_name(coefs))\n",
    "    plt.legend()\n",
    "    return coefs\n",
    "\n",
    "def poly_name(coefs, ndigits=2) -> str:\n",
    "    \"\"\"A str representing a polynomial.\"\"\"\n",
    "    degree = len(coefs) - 1\n",
    "    return ' + '.join(term(round(coef, ndigits), degree - i) \n",
    "                      for i, coef in enumerate(coefs))\n",
    "\n",
    "def term(coef, d) -> str: \n",
    "    \"\"\"A str representing a term in a polynomial.\"\"\"\n",
    "    return f'{coef}' + ('' if d == 0 else 'x' if d == 1 else f'x^{d}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First 1-D walls—we see the best-fit quadratic is almost a straight line, but has a slight upward bend:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit(range(2, 41), place_holds);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now 2-D walls—we see a prominent quadratic shape:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit(range(2, 26), place_holds_2d, repeat=100);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Do the Math\n",
    "\n",
    "The Monte Carlo approach can only give an approximation. To get an exact result requires a level of math that is above my ability. Fortunately, a real mathematician, [George Hauser](https://www.math.rutgers.edu/component/comprofiler/userprofile/gdh43?Itemid=753), provided the following analysis of the first event:\n",
    "- If you choose uniformly randomly *n* numbers between 0 and 1 and put them in order (including 0 and 1 in the list) and look at the *n*+1 gaps between them, the probability that any given *k* of the gaps are greater than *x* is (1-*kx*)<sup>*n*</sup> if *kx* ≤ 1 and 0 otherwise. So by inclusion-exclusion, the probability that the largest gap is greater than *x* is the sum of the probabilities that each individual gap is greater than *x*, minus the sum of the probabilities that each pair of gaps are simultaneously greater than *x*, plus the sum of all triples, etc. \n",
    "- So as a formula it is Pr(*X*<sub><i>n</i></sub> > *x*) = ∑<sub><i>k</i> ≤ 1/<i>x</i></sub> (-1)<sup><i>k</i>-1</sup> (*n*+1 choose *k*) (1-*kx*)<sup><i>n</i></sup>.\n",
    "- Here *X*<sub><i>n</i></sub> is the largest gap that appears in a sample of *n* random points between 0 and 1. \n",
    "- What we are interested in is *N*, the first step at which *X*<sub><i>n</i></sub> < *x*, and E(*N*) the expectation of *N*. \n",
    "- This expectation is ∑<sub><i>n</i> ≥ 1</sub> *n* Pr(*X*<sub><i>n</i></sub> < *x* and *X*<sub>*n-1*</sub> > *x*). \n",
    "- But the sequence *X*<sub><i>n</i></sub> is decreasing since the biggest gap can only get smaller when you add a new hold. \n",
    "- So this series just telescopes into ∑<sub>*n* ≥ 1</sub> Pr(*X*<sub><i>n</i></sub> > *x*).\n",
    "- So combining the two formulas we need to evaluate ∑<sub><i>n</i> ≥ 1</sub>∑<sub><i>k</i> ≤ 1/<i>x</i></sub> (-1)<sup><i>k</i>-1</sup> (*n*+1 choose *k*) (1-*kx*)<sup><i>n</i></sup>. \n",
    "- If you sum first over n, this gives ∑<sub><i>k</i> ≤ 1/<i>x</i></sub> (-1)<sup><i>k</i>-1</sup> (*kx*)<sup>-2</sup> (1/(*kx*)-1)<sup><i>k</i> - 1</sup>. \n",
    "- I couldn't really simplify this further, but it is easy enough to plug in *x* = 1/10 (i.e. 1 out of 10 meters) and get the answer.\n",
    "\n",
    "We can use Hauser's formula to do the computation with exact rationals and with floating point numbers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "226824785043461849328151/5269256457858371026944 ≅ 43.046829634792914\n"
     ]
    }
   ],
   "source": [
    "from fractions import Fraction\n",
    "\n",
    "def hauser(x):\n",
    "    \"\"\"George Hauser's formula for the expected number of holds in the first Event.\"\"\"\n",
    "    return sum((-1) ** (k - 1) * (k * x) ** -2 * (1 / (k * x) - 1) ** (k - 1)\n",
    "               for k in range(1, int(1/x) + 1))\n",
    "\n",
    "print(hauser(Fraction(1, 10)), '≅', hauser(1 / 10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This agrees well with my Monte Carlo estimate."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
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